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Finding the Fourth Proportional to 2,587.95, 3,562.63 and 2,338.50

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Solution

The fourth proportional to 2,587.95, 3,562.63 and 2,338.50 is: 3,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.95 : 3,562.63 = 2,338.50 : x
  2. Step 2: Convert to fraction form
    2,587.95/3,562.63 = 2,338.50/x
  3. Step 3: Cross multiply
    2,587.95x = 3,562.63 × 2,338.50
  4. Step 4: Simplify right side
    2,587.95x = 8,331,210.26
  5. Step 5: Solve for x
    x = 8,331,210.26/2,587.95
  6. Step 6: Final answer
    x = 3,219.24

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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.