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Finding the Fourth Proportional to 1,343.36, 1,854.72 and 1,034.24

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Solution

The fourth proportional to 1,343.36, 1,854.72 and 1,034.24 is: 1,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.36 : 1,854.72 = 1,034.24 : x
  2. Step 2: Convert to fraction form
    1,343.36/1,854.72 = 1,034.24/x
  3. Step 3: Cross multiply
    1,343.36x = 1,854.72 × 1,034.24
  4. Step 4: Simplify right side
    1,343.36x = 1,918,225.61
  5. Step 5: Solve for x
    x = 1,918,225.61/1,343.36
  6. Step 6: Final answer
    x = 1,427.93

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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.