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Finding the Fourth Proportional to 1,613.84, 2,417.42 and 1,304.02

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Solution

The fourth proportional to 1,613.84, 2,417.42 and 1,304.02 is: 1,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.84 : 2,417.42 = 1,304.02 : x
  2. Step 2: Convert to fraction form
    1,613.84/2,417.42 = 1,304.02/x
  3. Step 3: Cross multiply
    1,613.84x = 2,417.42 × 1,304.02
  4. Step 4: Simplify right side
    1,613.84x = 3,152,354.72
  5. Step 5: Solve for x
    x = 3,152,354.72/1,613.84
  6. Step 6: Final answer
    x = 1,953.32

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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.