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Finding the Fourth Proportional to 2,430.83, 3,646.29 and 787.55

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Solution

The fourth proportional to 2,430.83, 3,646.29 and 787.55 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.83 : 3,646.29 = 787.55 : x
  2. Step 2: Convert to fraction form
    2,430.83/3,646.29 = 787.55/x
  3. Step 3: Cross multiply
    2,430.83x = 3,646.29 × 787.55
  4. Step 4: Simplify right side
    2,430.83x = 2,871,617.46
  5. Step 5: Solve for x
    x = 2,871,617.46/2,430.83
  6. Step 6: Final answer
    x = 1,181.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.