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Finding the Fourth Proportional to 2,369.16, 3,549.42 and 1,746

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Solution

The fourth proportional to 2,369.16, 3,549.42 and 1,746 is: 2,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.16 : 3,549.42 = 1,746 : x
  2. Step 2: Convert to fraction form
    2,369.16/3,549.42 = 1,746/x
  3. Step 3: Cross multiply
    2,369.16x = 3,549.42 × 1,746
  4. Step 4: Simplify right side
    2,369.16x = 6,197,287.32
  5. Step 5: Solve for x
    x = 6,197,287.32/2,369.16
  6. Step 6: Final answer
    x = 2,615.82

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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.