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Finding the Fourth Proportional to 1,646.42, 2,470.23 and 1,339.02

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Solution

The fourth proportional to 1,646.42, 2,470.23 and 1,339.02 is: 2,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.42 : 2,470.23 = 1,339.02 : x
  2. Step 2: Convert to fraction form
    1,646.42/2,470.23 = 1,339.02/x
  3. Step 3: Cross multiply
    1,646.42x = 2,470.23 × 1,339.02
  4. Step 4: Simplify right side
    1,646.42x = 3,307,687.37
  5. Step 5: Solve for x
    x = 3,307,687.37/1,646.42
  6. Step 6: Final answer
    x = 2,009.02

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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.