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Finding the Fourth Proportional to 2,594.40, 3,575.85 and 1,742.11

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Solution

The fourth proportional to 2,594.40, 3,575.85 and 1,742.11 is: 2,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.40 : 3,575.85 = 1,742.11 : x
  2. Step 2: Convert to fraction form
    2,594.40/3,575.85 = 1,742.11/x
  3. Step 3: Cross multiply
    2,594.40x = 3,575.85 × 1,742.11
  4. Step 4: Simplify right side
    2,594.40x = 6,229,542.22
  5. Step 5: Solve for x
    x = 6,229,542.22/2,594.40
  6. Step 6: Final answer
    x = 2,401.15

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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.