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Finding the Fourth Proportional to 1,357.86, 2,028.04 and 1,348.35

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Solution

The fourth proportional to 1,357.86, 2,028.04 and 1,348.35 is: 2,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.86 : 2,028.04 = 1,348.35 : x
  2. Step 2: Convert to fraction form
    1,357.86/2,028.04 = 1,348.35/x
  3. Step 3: Cross multiply
    1,357.86x = 2,028.04 × 1,348.35
  4. Step 4: Simplify right side
    1,357.86x = 2,734,496.76
  5. Step 5: Solve for x
    x = 2,734,496.76/1,357.86
  6. Step 6: Final answer
    x = 2,013.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.