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Finding the Fourth Proportional to 2,159.81, 3,240.48 and 1,064.95

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Solution

The fourth proportional to 2,159.81, 3,240.48 and 1,064.95 is: 1,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.81 : 3,240.48 = 1,064.95 : x
  2. Step 2: Convert to fraction form
    2,159.81/3,240.48 = 1,064.95/x
  3. Step 3: Cross multiply
    2,159.81x = 3,240.48 × 1,064.95
  4. Step 4: Simplify right side
    2,159.81x = 3,450,957.22
  5. Step 5: Solve for x
    x = 3,450,957.22/2,159.81
  6. Step 6: Final answer
    x = 1,597.80

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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.