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Finding the Fourth Proportional to 1,492.18, 2,238.88 and 669.90

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Solution

The fourth proportional to 1,492.18, 2,238.88 and 669.90 is: 1,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.18 : 2,238.88 = 669.90 : x
  2. Step 2: Convert to fraction form
    1,492.18/2,238.88 = 669.90/x
  3. Step 3: Cross multiply
    1,492.18x = 2,238.88 × 669.90
  4. Step 4: Simplify right side
    1,492.18x = 1,499,825.71
  5. Step 5: Solve for x
    x = 1,499,825.71/1,492.18
  6. Step 6: Final answer
    x = 1,005.12

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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.