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Finding the Fourth Proportional to 1,344.15, 1,854.41 and 1,029.06

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Solution

The fourth proportional to 1,344.15, 1,854.41 and 1,029.06 is: 1,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.15 : 1,854.41 = 1,029.06 : x
  2. Step 2: Convert to fraction form
    1,344.15/1,854.41 = 1,029.06/x
  3. Step 3: Cross multiply
    1,344.15x = 1,854.41 × 1,029.06
  4. Step 4: Simplify right side
    1,344.15x = 1,908,294.01
  5. Step 5: Solve for x
    x = 1,908,294.01/1,344.15
  6. Step 6: Final answer
    x = 1,419.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.