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Finding the Fourth Proportional to 1,344.05, 1,856.02 and 1,011.90

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Solution

The fourth proportional to 1,344.05, 1,856.02 and 1,011.90 is: 1,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.05 : 1,856.02 = 1,011.90 : x
  2. Step 2: Convert to fraction form
    1,344.05/1,856.02 = 1,011.90/x
  3. Step 3: Cross multiply
    1,344.05x = 1,856.02 × 1,011.90
  4. Step 4: Simplify right side
    1,344.05x = 1,878,112.97
  5. Step 5: Solve for x
    x = 1,878,112.97/1,344.05
  6. Step 6: Final answer
    x = 1,397.35

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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.