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Finding the Fourth Proportional to 2,472.32, 3,411.54 and 1,477.80

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Solution

The fourth proportional to 2,472.32, 3,411.54 and 1,477.80 is: 2,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.32 : 3,411.54 = 1,477.80 : x
  2. Step 2: Convert to fraction form
    2,472.32/3,411.54 = 1,477.80/x
  3. Step 3: Cross multiply
    2,472.32x = 3,411.54 × 1,477.80
  4. Step 4: Simplify right side
    2,472.32x = 5,041,573.81
  5. Step 5: Solve for x
    x = 5,041,573.81/2,472.32
  6. Step 6: Final answer
    x = 2,039.21

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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.