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Finding the Fourth Proportional to 1,559.14, 2,150.86 and 929.47

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Solution

The fourth proportional to 1,559.14, 2,150.86 and 929.47 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.14 : 2,150.86 = 929.47 : x
  2. Step 2: Convert to fraction form
    1,559.14/2,150.86 = 929.47/x
  3. Step 3: Cross multiply
    1,559.14x = 2,150.86 × 929.47
  4. Step 4: Simplify right side
    1,559.14x = 1,999,152.14
  5. Step 5: Solve for x
    x = 1,999,152.14/1,559.14
  6. Step 6: Final answer
    x = 1,282.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.