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Finding the Fourth Proportional to 2,319.70, 3,479.57 and 1,856.87

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Solution

The fourth proportional to 2,319.70, 3,479.57 and 1,856.87 is: 2,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.70 : 3,479.57 = 1,856.87 : x
  2. Step 2: Convert to fraction form
    2,319.70/3,479.57 = 1,856.87/x
  3. Step 3: Cross multiply
    2,319.70x = 3,479.57 × 1,856.87
  4. Step 4: Simplify right side
    2,319.70x = 6,461,109.15
  5. Step 5: Solve for x
    x = 6,461,109.15/2,319.70
  6. Step 6: Final answer
    x = 2,785.32

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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.