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Finding the Fourth Proportional to 3,124.40, 4,687.54 and 933.20

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Solution

The fourth proportional to 3,124.40, 4,687.54 and 933.20 is: 1,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.40 : 4,687.54 = 933.20 : x
  2. Step 2: Convert to fraction form
    3,124.40/4,687.54 = 933.20/x
  3. Step 3: Cross multiply
    3,124.40x = 4,687.54 × 933.20
  4. Step 4: Simplify right side
    3,124.40x = 4,374,412.33
  5. Step 5: Solve for x
    x = 4,374,412.33/3,124.40
  6. Step 6: Final answer
    x = 1,400.08

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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.