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Finding the Fourth Proportional to 1,492.00, 2,238.80 and 876.90

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Solution

The fourth proportional to 1,492.00, 2,238.80 and 876.90 is: 1,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.00 : 2,238.80 = 876.90 : x
  2. Step 2: Convert to fraction form
    1,492.00/2,238.80 = 876.90/x
  3. Step 3: Cross multiply
    1,492.00x = 2,238.80 × 876.90
  4. Step 4: Simplify right side
    1,492.00x = 1,963,199.34
  5. Step 5: Solve for x
    x = 1,963,199.34/1,492.00
  6. Step 6: Final answer
    x = 1,315.82

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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.