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Finding the Fourth Proportional to 2,430.76, 3,646.14 and 787.27

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Solution

The fourth proportional to 2,430.76, 3,646.14 and 787.27 is: 1,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.76 : 3,646.14 = 787.27 : x
  2. Step 2: Convert to fraction form
    2,430.76/3,646.14 = 787.27/x
  3. Step 3: Cross multiply
    2,430.76x = 3,646.14 × 787.27
  4. Step 4: Simplify right side
    2,430.76x = 2,870,496.64
  5. Step 5: Solve for x
    x = 2,870,496.64/2,430.76
  6. Step 6: Final answer
    x = 1,180.91

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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.