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Finding the Fourth Proportional to 1,572.87, 2,342.58 and 1,529.82

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Solution

The fourth proportional to 1,572.87, 2,342.58 and 1,529.82 is: 2,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.87 : 2,342.58 = 1,529.82 : x
  2. Step 2: Convert to fraction form
    1,572.87/2,342.58 = 1,529.82/x
  3. Step 3: Cross multiply
    1,572.87x = 2,342.58 × 1,529.82
  4. Step 4: Simplify right side
    1,572.87x = 3,583,725.74
  5. Step 5: Solve for x
    x = 3,583,725.74/1,572.87
  6. Step 6: Final answer
    x = 2,278.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.