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Finding the Fourth Proportional to 3,130.88, 4,319.42 and 2,069.15

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Solution

The fourth proportional to 3,130.88, 4,319.42 and 2,069.15 is: 2,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.88 : 4,319.42 = 2,069.15 : x
  2. Step 2: Convert to fraction form
    3,130.88/4,319.42 = 2,069.15/x
  3. Step 3: Cross multiply
    3,130.88x = 4,319.42 × 2,069.15
  4. Step 4: Simplify right side
    3,130.88x = 8,937,495.95
  5. Step 5: Solve for x
    x = 8,937,495.95/3,130.88
  6. Step 6: Final answer
    x = 2,854.63

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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.