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Finding the Fourth Proportional to 1,342.49, 1,854.42 and 1,119.16

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Solution

The fourth proportional to 1,342.49, 1,854.42 and 1,119.16 is: 1,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.49 : 1,854.42 = 1,119.16 : x
  2. Step 2: Convert to fraction form
    1,342.49/1,854.42 = 1,119.16/x
  3. Step 3: Cross multiply
    1,342.49x = 1,854.42 × 1,119.16
  4. Step 4: Simplify right side
    1,342.49x = 2,075,392.69
  5. Step 5: Solve for x
    x = 2,075,392.69/1,342.49
  6. Step 6: Final answer
    x = 1,545.93

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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.