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Finding the Fourth Proportional to 1,393.74, 2,088.84 and 1,357.40

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Solution

The fourth proportional to 1,393.74, 2,088.84 and 1,357.40 is: 2,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.74 : 2,088.84 = 1,357.40 : x
  2. Step 2: Convert to fraction form
    1,393.74/2,088.84 = 1,357.40/x
  3. Step 3: Cross multiply
    1,393.74x = 2,088.84 × 1,357.40
  4. Step 4: Simplify right side
    1,393.74x = 2,835,401.73
  5. Step 5: Solve for x
    x = 2,835,401.73/1,393.74
  6. Step 6: Final answer
    x = 2,034.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.