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Finding the Fourth Proportional to 2,070.72, 2,856.65 and 1,230.96

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Solution

The fourth proportional to 2,070.72, 2,856.65 and 1,230.96 is: 1,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.72 : 2,856.65 = 1,230.96 : x
  2. Step 2: Convert to fraction form
    2,070.72/2,856.65 = 1,230.96/x
  3. Step 3: Cross multiply
    2,070.72x = 2,856.65 × 1,230.96
  4. Step 4: Simplify right side
    2,070.72x = 3,516,415.73
  5. Step 5: Solve for x
    x = 3,516,415.73/2,070.72
  6. Step 6: Final answer
    x = 1,698.16

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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.