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Finding the Fourth Proportional to 2,390.40, 3,585.72 and 747.06

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Solution

The fourth proportional to 2,390.40, 3,585.72 and 747.06 is: 1,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.40 : 3,585.72 = 747.06 : x
  2. Step 2: Convert to fraction form
    2,390.40/3,585.72 = 747.06/x
  3. Step 3: Cross multiply
    2,390.40x = 3,585.72 × 747.06
  4. Step 4: Simplify right side
    2,390.40x = 2,678,747.98
  5. Step 5: Solve for x
    x = 2,678,747.98/2,390.40
  6. Step 6: Final answer
    x = 1,120.63

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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.