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Finding the Fourth Proportional to 2,225.16, 3,337.86 and 581.71

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Solution

The fourth proportional to 2,225.16, 3,337.86 and 581.71 is: 872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.16 : 3,337.86 = 581.71 : x
  2. Step 2: Convert to fraction form
    2,225.16/3,337.86 = 581.71/x
  3. Step 3: Cross multiply
    2,225.16x = 3,337.86 × 581.71
  4. Step 4: Simplify right side
    2,225.16x = 1,941,666.54
  5. Step 5: Solve for x
    x = 1,941,666.54/2,225.16
  6. Step 6: Final answer
    x = 872.60

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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.