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Finding the Fourth Proportional to 2,145.85, 3,219.08 and 975.85

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Solution

The fourth proportional to 2,145.85, 3,219.08 and 975.85 is: 1,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.85 : 3,219.08 = 975.85 : x
  2. Step 2: Convert to fraction form
    2,145.85/3,219.08 = 975.85/x
  3. Step 3: Cross multiply
    2,145.85x = 3,219.08 × 975.85
  4. Step 4: Simplify right side
    2,145.85x = 3,141,326.29
  5. Step 5: Solve for x
    x = 3,141,326.29/2,145.85
  6. Step 6: Final answer
    x = 1,463.91

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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.