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Finding the Fourth Proportional to 2,671.90, 4,009.16 and 1,503.16

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Solution

The fourth proportional to 2,671.90, 4,009.16 and 1,503.16 is: 2,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.90 : 4,009.16 = 1,503.16 : x
  2. Step 2: Convert to fraction form
    2,671.90/4,009.16 = 1,503.16/x
  3. Step 3: Cross multiply
    2,671.90x = 4,009.16 × 1,503.16
  4. Step 4: Simplify right side
    2,671.90x = 6,026,401.43
  5. Step 5: Solve for x
    x = 6,026,401.43/2,671.90
  6. Step 6: Final answer
    x = 2,255.47

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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.