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Finding the Fourth Proportional to 3,124.59, 4,686.87 and 933.31

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Solution

The fourth proportional to 3,124.59, 4,686.87 and 933.31 is: 1,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.59 : 4,686.87 = 933.31 : x
  2. Step 2: Convert to fraction form
    3,124.59/4,686.87 = 933.31/x
  3. Step 3: Cross multiply
    3,124.59x = 4,686.87 × 933.31
  4. Step 4: Simplify right side
    3,124.59x = 4,374,302.64
  5. Step 5: Solve for x
    x = 4,374,302.64/3,124.59
  6. Step 6: Final answer
    x = 1,399.96

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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.