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Finding the Fourth Proportional to 1,340.88, 1,849.71 and 898.93

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Solution

The fourth proportional to 1,340.88, 1,849.71 and 898.93 is: 1,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.88 : 1,849.71 = 898.93 : x
  2. Step 2: Convert to fraction form
    1,340.88/1,849.71 = 898.93/x
  3. Step 3: Cross multiply
    1,340.88x = 1,849.71 × 898.93
  4. Step 4: Simplify right side
    1,340.88x = 1,662,759.81
  5. Step 5: Solve for x
    x = 1,662,759.81/1,340.88
  6. Step 6: Final answer
    x = 1,240.05

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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.