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Finding the Fourth Proportional to 1,672.59, 2,307.61 and 1,340.90

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Solution

The fourth proportional to 1,672.59, 2,307.61 and 1,340.90 is: 1,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.59 : 2,307.61 = 1,340.90 : x
  2. Step 2: Convert to fraction form
    1,672.59/2,307.61 = 1,340.90/x
  3. Step 3: Cross multiply
    1,672.59x = 2,307.61 × 1,340.90
  4. Step 4: Simplify right side
    1,672.59x = 3,094,274.25
  5. Step 5: Solve for x
    x = 3,094,274.25/1,672.59
  6. Step 6: Final answer
    x = 1,849.99

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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.