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Finding the Fourth Proportional to 2,653.57, 3,980.47 and 898.52

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Solution

The fourth proportional to 2,653.57, 3,980.47 and 898.52 is: 1,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.57 : 3,980.47 = 898.52 : x
  2. Step 2: Convert to fraction form
    2,653.57/3,980.47 = 898.52/x
  3. Step 3: Cross multiply
    2,653.57x = 3,980.47 × 898.52
  4. Step 4: Simplify right side
    2,653.57x = 3,576,531.90
  5. Step 5: Solve for x
    x = 3,576,531.90/2,653.57
  6. Step 6: Final answer
    x = 1,347.82

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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.