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Finding the Fourth Proportional to 1,746.41, 2,606.00 and 1,591.16

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Solution

The fourth proportional to 1,746.41, 2,606.00 and 1,591.16 is: 2,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.41 : 2,606.00 = 1,591.16 : x
  2. Step 2: Convert to fraction form
    1,746.41/2,606.00 = 1,591.16/x
  3. Step 3: Cross multiply
    1,746.41x = 2,606.00 × 1,591.16
  4. Step 4: Simplify right side
    1,746.41x = 4,146,541.97
  5. Step 5: Solve for x
    x = 4,146,541.97/1,746.41
  6. Step 6: Final answer
    x = 2,374.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.