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Finding the Fourth Proportional to 2,430.81, 3,646.67 and 787.32

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Solution

The fourth proportional to 2,430.81, 3,646.67 and 787.32 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.81 : 3,646.67 = 787.32 : x
  2. Step 2: Convert to fraction form
    2,430.81/3,646.67 = 787.32/x
  3. Step 3: Cross multiply
    2,430.81x = 3,646.67 × 787.32
  4. Step 4: Simplify right side
    2,430.81x = 2,871,092.29
  5. Step 5: Solve for x
    x = 2,871,092.29/2,430.81
  6. Step 6: Final answer
    x = 1,181.13

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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.