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Finding the Fourth Proportional to 1,677.24, 2,518.18 and 856.10

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Solution

The fourth proportional to 1,677.24, 2,518.18 and 856.10 is: 1,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.24 : 2,518.18 = 856.10 : x
  2. Step 2: Convert to fraction form
    1,677.24/2,518.18 = 856.10/x
  3. Step 3: Cross multiply
    1,677.24x = 2,518.18 × 856.10
  4. Step 4: Simplify right side
    1,677.24x = 2,155,818.05
  5. Step 5: Solve for x
    x = 2,155,818.05/1,677.24
  6. Step 6: Final answer
    x = 1,285.34

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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.