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Finding the Fourth Proportional to 1,594.42, 2,199.85 and 1,034.91

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Solution

The fourth proportional to 1,594.42, 2,199.85 and 1,034.91 is: 1,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.42 : 2,199.85 = 1,034.91 : x
  2. Step 2: Convert to fraction form
    1,594.42/2,199.85 = 1,034.91/x
  3. Step 3: Cross multiply
    1,594.42x = 2,199.85 × 1,034.91
  4. Step 4: Simplify right side
    1,594.42x = 2,276,646.76
  5. Step 5: Solve for x
    x = 2,276,646.76/1,594.42
  6. Step 6: Final answer
    x = 1,427.88

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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.