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Finding the Fourth Proportional to 3,129.78, 4,319.09 and 1,870.77

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Solution

The fourth proportional to 3,129.78, 4,319.09 and 1,870.77 is: 2,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.78 : 4,319.09 = 1,870.77 : x
  2. Step 2: Convert to fraction form
    3,129.78/4,319.09 = 1,870.77/x
  3. Step 3: Cross multiply
    3,129.78x = 4,319.09 × 1,870.77
  4. Step 4: Simplify right side
    3,129.78x = 8,080,020.63
  5. Step 5: Solve for x
    x = 8,080,020.63/3,129.78
  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.