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Finding the Fourth Proportional to 2,430.75, 3,646.40 and 787.23

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Solution

The fourth proportional to 2,430.75, 3,646.40 and 787.23 is: 1,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.75 : 3,646.40 = 787.23 : x
  2. Step 2: Convert to fraction form
    2,430.75/3,646.40 = 787.23/x
  3. Step 3: Cross multiply
    2,430.75x = 3,646.40 × 787.23
  4. Step 4: Simplify right side
    2,430.75x = 2,870,551.54
  5. Step 5: Solve for x
    x = 2,870,551.54/2,430.75
  6. Step 6: Final answer
    x = 1,180.93

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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.