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Finding the Fourth Proportional to 1,661.50, 2,492.82 and 1,044.48

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Solution

The fourth proportional to 1,661.50, 2,492.82 and 1,044.48 is: 1,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.50 : 2,492.82 = 1,044.48 : x
  2. Step 2: Convert to fraction form
    1,661.50/2,492.82 = 1,044.48/x
  3. Step 3: Cross multiply
    1,661.50x = 2,492.82 × 1,044.48
  4. Step 4: Simplify right side
    1,661.50x = 2,603,707.04
  5. Step 5: Solve for x
    x = 2,603,707.04/1,661.50
  6. Step 6: Final answer
    x = 1,567.08

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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.