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Finding the Fourth Proportional to 1,417.79, 1,952.87 and 1,193.45

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Solution

The fourth proportional to 1,417.79, 1,952.87 and 1,193.45 is: 1,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.79 : 1,952.87 = 1,193.45 : x
  2. Step 2: Convert to fraction form
    1,417.79/1,952.87 = 1,193.45/x
  3. Step 3: Cross multiply
    1,417.79x = 1,952.87 × 1,193.45
  4. Step 4: Simplify right side
    1,417.79x = 2,330,636.97
  5. Step 5: Solve for x
    x = 2,330,636.97/1,417.79
  6. Step 6: Final answer
    x = 1,643.86

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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.