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Finding the Fourth Proportional to 1,657.98, 2,492.13 and 1,045.62

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Solution

The fourth proportional to 1,657.98, 2,492.13 and 1,045.62 is: 1,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.98 : 2,492.13 = 1,045.62 : x
  2. Step 2: Convert to fraction form
    1,657.98/2,492.13 = 1,045.62/x
  3. Step 3: Cross multiply
    1,657.98x = 2,492.13 × 1,045.62
  4. Step 4: Simplify right side
    1,657.98x = 2,605,805.90
  5. Step 5: Solve for x
    x = 2,605,805.90/1,657.98
  6. Step 6: Final answer
    x = 1,571.68

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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.