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Finding the Fourth Proportional to 1,558.71, 2,146.10 and 1,264.95

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Solution

The fourth proportional to 1,558.71, 2,146.10 and 1,264.95 is: 1,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.71 : 2,146.10 = 1,264.95 : x
  2. Step 2: Convert to fraction form
    1,558.71/2,146.10 = 1,264.95/x
  3. Step 3: Cross multiply
    1,558.71x = 2,146.10 × 1,264.95
  4. Step 4: Simplify right side
    1,558.71x = 2,714,702.87
  5. Step 5: Solve for x
    x = 2,714,702.87/1,558.71
  6. Step 6: Final answer
    x = 1,741.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.