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Finding the Fourth Proportional to 1,707.95, 2,357.46 and 1,118.52

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Solution

The fourth proportional to 1,707.95, 2,357.46 and 1,118.52 is: 1,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.95 : 2,357.46 = 1,118.52 : x
  2. Step 2: Convert to fraction form
    1,707.95/2,357.46 = 1,118.52/x
  3. Step 3: Cross multiply
    1,707.95x = 2,357.46 × 1,118.52
  4. Step 4: Simplify right side
    1,707.95x = 2,636,866.16
  5. Step 5: Solve for x
    x = 2,636,866.16/1,707.95
  6. Step 6: Final answer
    x = 1,543.88

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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.