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Finding the Fourth Proportional to 1,366.34, 1,888.06 and 1,034.18

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Solution

The fourth proportional to 1,366.34, 1,888.06 and 1,034.18 is: 1,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.34 : 1,888.06 = 1,034.18 : x
  2. Step 2: Convert to fraction form
    1,366.34/1,888.06 = 1,034.18/x
  3. Step 3: Cross multiply
    1,366.34x = 1,888.06 × 1,034.18
  4. Step 4: Simplify right side
    1,366.34x = 1,952,593.89
  5. Step 5: Solve for x
    x = 1,952,593.89/1,366.34
  6. Step 6: Final answer
    x = 1,429.07

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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.