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Finding the Fourth Proportional to 1,657.95, 2,288.27 and 1,161.31

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Solution

The fourth proportional to 1,657.95, 2,288.27 and 1,161.31 is: 1,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.95 : 2,288.27 = 1,161.31 : x
  2. Step 2: Convert to fraction form
    1,657.95/2,288.27 = 1,161.31/x
  3. Step 3: Cross multiply
    1,657.95x = 2,288.27 × 1,161.31
  4. Step 4: Simplify right side
    1,657.95x = 2,657,390.83
  5. Step 5: Solve for x
    x = 2,657,390.83/1,657.95
  6. Step 6: Final answer
    x = 1,602.82

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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.