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Finding the Fourth Proportional to 1,746.30, 2,617.29 and 880.14

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Solution

The fourth proportional to 1,746.30, 2,617.29 and 880.14 is: 1,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.30 : 2,617.29 = 880.14 : x
  2. Step 2: Convert to fraction form
    1,746.30/2,617.29 = 880.14/x
  3. Step 3: Cross multiply
    1,746.30x = 2,617.29 × 880.14
  4. Step 4: Simplify right side
    1,746.30x = 2,303,581.62
  5. Step 5: Solve for x
    x = 2,303,581.62/1,746.30
  6. Step 6: Final answer
    x = 1,319.12

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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.