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Finding the Fourth Proportional to 1,752.76, 2,416.44 and 1,503

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Solution

The fourth proportional to 1,752.76, 2,416.44 and 1,503 is: 2,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.76 : 2,416.44 = 1,503 : x
  2. Step 2: Convert to fraction form
    1,752.76/2,416.44 = 1,503/x
  3. Step 3: Cross multiply
    1,752.76x = 2,416.44 × 1,503
  4. Step 4: Simplify right side
    1,752.76x = 3,631,909.32
  5. Step 5: Solve for x
    x = 3,631,909.32/1,752.76
  6. Step 6: Final answer
    x = 2,072.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.