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Finding the Fourth Proportional to 2,516.06, 3,774.09 and 977.06

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Solution

The fourth proportional to 2,516.06, 3,774.09 and 977.06 is: 1,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.06 : 3,774.09 = 977.06 : x
  2. Step 2: Convert to fraction form
    2,516.06/3,774.09 = 977.06/x
  3. Step 3: Cross multiply
    2,516.06x = 3,774.09 × 977.06
  4. Step 4: Simplify right side
    2,516.06x = 3,687,525.47
  5. Step 5: Solve for x
    x = 3,687,525.47/2,516.06
  6. Step 6: Final answer
    x = 1,465.59

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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.