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Finding the Fourth Proportional to 2,899.32, 4,349.70 and 1,340.41

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Solution

The fourth proportional to 2,899.32, 4,349.70 and 1,340.41 is: 2,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.32 : 4,349.70 = 1,340.41 : x
  2. Step 2: Convert to fraction form
    2,899.32/4,349.70 = 1,340.41/x
  3. Step 3: Cross multiply
    2,899.32x = 4,349.70 × 1,340.41
  4. Step 4: Simplify right side
    2,899.32x = 5,830,386.81
  5. Step 5: Solve for x
    x = 5,830,386.81/2,899.32
  6. Step 6: Final answer
    x = 2,010.95

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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.