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Finding the Fourth Proportional to 2,975.99, 4,460.59 and 2,312.93

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Solution

The fourth proportional to 2,975.99, 4,460.59 and 2,312.93 is: 3,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.99 : 4,460.59 = 2,312.93 : x
  2. Step 2: Convert to fraction form
    2,975.99/4,460.59 = 2,312.93/x
  3. Step 3: Cross multiply
    2,975.99x = 4,460.59 × 2,312.93
  4. Step 4: Simplify right side
    2,975.99x = 10,317,046.47
  5. Step 5: Solve for x
    x = 10,317,046.47/2,975.99
  6. Step 6: Final answer
    x = 3,466.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.