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Finding the Fourth Proportional to 2,382.40, 3,573.75 and 740.02

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Solution

The fourth proportional to 2,382.40, 3,573.75 and 740.02 is: 1,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.40 : 3,573.75 = 740.02 : x
  2. Step 2: Convert to fraction form
    2,382.40/3,573.75 = 740.02/x
  3. Step 3: Cross multiply
    2,382.40x = 3,573.75 × 740.02
  4. Step 4: Simplify right side
    2,382.40x = 2,644,646.48
  5. Step 5: Solve for x
    x = 2,644,646.48/2,382.40
  6. Step 6: Final answer
    x = 1,110.08

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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.