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Finding the Fourth Proportional to 1,562.87, 2,345.12 and 1,133.57

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Solution

The fourth proportional to 1,562.87, 2,345.12 and 1,133.57 is: 1,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.87 : 2,345.12 = 1,133.57 : x
  2. Step 2: Convert to fraction form
    1,562.87/2,345.12 = 1,133.57/x
  3. Step 3: Cross multiply
    1,562.87x = 2,345.12 × 1,133.57
  4. Step 4: Simplify right side
    1,562.87x = 2,658,357.68
  5. Step 5: Solve for x
    x = 2,658,357.68/1,562.87
  6. Step 6: Final answer
    x = 1,700.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.