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Finding the Fourth Proportional to 2,465.76, 3,695.45 and 1,003.22

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Solution

The fourth proportional to 2,465.76, 3,695.45 and 1,003.22 is: 1,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.76 : 3,695.45 = 1,003.22 : x
  2. Step 2: Convert to fraction form
    2,465.76/3,695.45 = 1,003.22/x
  3. Step 3: Cross multiply
    2,465.76x = 3,695.45 × 1,003.22
  4. Step 4: Simplify right side
    2,465.76x = 3,707,325.86
  5. Step 5: Solve for x
    x = 3,707,325.86/2,465.76
  6. Step 6: Final answer
    x = 1,503.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.