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Finding the Fourth Proportional to 2,566.08, 3,540.65 and 1,503.63

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Solution

The fourth proportional to 2,566.08, 3,540.65 and 1,503.63 is: 2,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.08 : 3,540.65 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    2,566.08/3,540.65 = 1,503.63/x
  3. Step 3: Cross multiply
    2,566.08x = 3,540.65 × 1,503.63
  4. Step 4: Simplify right side
    2,566.08x = 5,323,820.04
  5. Step 5: Solve for x
    x = 5,323,820.04/2,566.08
  6. Step 6: Final answer
    x = 2,074.69

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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.