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Finding the Fourth Proportional to 1,746.60, 2,620.54 and 881

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Solution

The fourth proportional to 1,746.60, 2,620.54 and 881 is: 1,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.60 : 2,620.54 = 881 : x
  2. Step 2: Convert to fraction form
    1,746.60/2,620.54 = 881/x
  3. Step 3: Cross multiply
    1,746.60x = 2,620.54 × 881
  4. Step 4: Simplify right side
    1,746.60x = 2,308,695.74
  5. Step 5: Solve for x
    x = 2,308,695.74/1,746.60
  6. Step 6: Final answer
    x = 1,321.82

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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.