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Finding the Fourth Proportional to 1,417.52, 2,126.76 and 896.92

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Solution

The fourth proportional to 1,417.52, 2,126.76 and 896.92 is: 1,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.52 : 2,126.76 = 896.92 : x
  2. Step 2: Convert to fraction form
    1,417.52/2,126.76 = 896.92/x
  3. Step 3: Cross multiply
    1,417.52x = 2,126.76 × 896.92
  4. Step 4: Simplify right side
    1,417.52x = 1,907,533.58
  5. Step 5: Solve for x
    x = 1,907,533.58/1,417.52
  6. Step 6: Final answer
    x = 1,345.68

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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.