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Finding the Fourth Proportional to 1,348.07, 1,854.77 and 1,052.82

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Solution

The fourth proportional to 1,348.07, 1,854.77 and 1,052.82 is: 1,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.07 : 1,854.77 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    1,348.07/1,854.77 = 1,052.82/x
  3. Step 3: Cross multiply
    1,348.07x = 1,854.77 × 1,052.82
  4. Step 4: Simplify right side
    1,348.07x = 1,952,733.69
  5. Step 5: Solve for x
    x = 1,952,733.69/1,348.07
  6. Step 6: Final answer
    x = 1,448.55

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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.