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Finding the Fourth Proportional to 1,602.78, 2,390.18 and 1,425.80

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Solution

The fourth proportional to 1,602.78, 2,390.18 and 1,425.80 is: 2,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.78 : 2,390.18 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    1,602.78/2,390.18 = 1,425.80/x
  3. Step 3: Cross multiply
    1,602.78x = 2,390.18 × 1,425.80
  4. Step 4: Simplify right side
    1,602.78x = 3,407,899.56
  5. Step 5: Solve for x
    x = 3,407,899.56/1,602.78
  6. Step 6: Final answer
    x = 2,126.24

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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.