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Finding the Fourth Proportional to 1,417.92, 1,952.55 and 1,195.98

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Solution

The fourth proportional to 1,417.92, 1,952.55 and 1,195.98 is: 1,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.92 : 1,952.55 = 1,195.98 : x
  2. Step 2: Convert to fraction form
    1,417.92/1,952.55 = 1,195.98/x
  3. Step 3: Cross multiply
    1,417.92x = 1,952.55 × 1,195.98
  4. Step 4: Simplify right side
    1,417.92x = 2,335,210.75
  5. Step 5: Solve for x
    x = 2,335,210.75/1,417.92
  6. Step 6: Final answer
    x = 1,646.93

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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.