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Finding the Fourth Proportional to 1,498.62, 2,069.10 and 1,340.76

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Solution

The fourth proportional to 1,498.62, 2,069.10 and 1,340.76 is: 1,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.62 : 2,069.10 = 1,340.76 : x
  2. Step 2: Convert to fraction form
    1,498.62/2,069.10 = 1,340.76/x
  3. Step 3: Cross multiply
    1,498.62x = 2,069.10 × 1,340.76
  4. Step 4: Simplify right side
    1,498.62x = 2,774,166.52
  5. Step 5: Solve for x
    x = 2,774,166.52/1,498.62
  6. Step 6: Final answer
    x = 1,851.15

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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.