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Finding the Fourth Proportional to 2,337.10, 3,502.05 and 1,566.70

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Solution

The fourth proportional to 2,337.10, 3,502.05 and 1,566.70 is: 2,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.10 : 3,502.05 = 1,566.70 : x
  2. Step 2: Convert to fraction form
    2,337.10/3,502.05 = 1,566.70/x
  3. Step 3: Cross multiply
    2,337.10x = 3,502.05 × 1,566.70
  4. Step 4: Simplify right side
    2,337.10x = 5,486,661.74
  5. Step 5: Solve for x
    x = 5,486,661.74/2,337.10
  6. Step 6: Final answer
    x = 2,347.64

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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.