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Finding the Fourth Proportional to 2,158.60, 2,978.76 and 1,319.14

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Solution

The fourth proportional to 2,158.60, 2,978.76 and 1,319.14 is: 1,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.60 : 2,978.76 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    2,158.60/2,978.76 = 1,319.14/x
  3. Step 3: Cross multiply
    2,158.60x = 2,978.76 × 1,319.14
  4. Step 4: Simplify right side
    2,158.60x = 3,929,401.47
  5. Step 5: Solve for x
    x = 3,929,401.47/2,158.60
  6. Step 6: Final answer
    x = 1,820.35

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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.