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Finding the Fourth Proportional to 2,600.10, 3,585.87 and 1,854.50

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Solution

The fourth proportional to 2,600.10, 3,585.87 and 1,854.50 is: 2,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.10 : 3,585.87 = 1,854.50 : x
  2. Step 2: Convert to fraction form
    2,600.10/3,585.87 = 1,854.50/x
  3. Step 3: Cross multiply
    2,600.10x = 3,585.87 × 1,854.50
  4. Step 4: Simplify right side
    2,600.10x = 6,649,977.99
  5. Step 5: Solve for x
    x = 6,649,977.99/2,600.10
  6. Step 6: Final answer
    x = 2,557.59

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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.