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Finding the Fourth Proportional to 3,130.10, 4,319.24 and 1,870.90

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Solution

The fourth proportional to 3,130.10, 4,319.24 and 1,870.90 is: 2,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.10 : 4,319.24 = 1,870.90 : x
  2. Step 2: Convert to fraction form
    3,130.10/4,319.24 = 1,870.90/x
  3. Step 3: Cross multiply
    3,130.10x = 4,319.24 × 1,870.90
  4. Step 4: Simplify right side
    3,130.10x = 8,080,835.17
  5. Step 5: Solve for x
    x = 8,080,835.17/3,130.10
  6. Step 6: Final answer
    x = 2,581.66

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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.