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Finding the Fourth Proportional to 2,159.88, 3,240.18 and 1,064.35

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Solution

The fourth proportional to 2,159.88, 3,240.18 and 1,064.35 is: 1,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.88 : 3,240.18 = 1,064.35 : x
  2. Step 2: Convert to fraction form
    2,159.88/3,240.18 = 1,064.35/x
  3. Step 3: Cross multiply
    2,159.88x = 3,240.18 × 1,064.35
  4. Step 4: Simplify right side
    2,159.88x = 3,448,685.58
  5. Step 5: Solve for x
    x = 3,448,685.58/2,159.88
  6. Step 6: Final answer
    x = 1,596.70

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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.