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Finding the Fourth Proportional to 2,617.68, 3,612.12 and 1,438.74

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Solution

The fourth proportional to 2,617.68, 3,612.12 and 1,438.74 is: 1,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.68 : 3,612.12 = 1,438.74 : x
  2. Step 2: Convert to fraction form
    2,617.68/3,612.12 = 1,438.74/x
  3. Step 3: Cross multiply
    2,617.68x = 3,612.12 × 1,438.74
  4. Step 4: Simplify right side
    2,617.68x = 5,196,901.53
  5. Step 5: Solve for x
    x = 5,196,901.53/2,617.68
  6. Step 6: Final answer
    x = 1,985.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.