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Finding the Fourth Proportional to 2,492.85, 3,440.44 and 1,498.65

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Solution

The fourth proportional to 2,492.85, 3,440.44 and 1,498.65 is: 2,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.85 : 3,440.44 = 1,498.65 : x
  2. Step 2: Convert to fraction form
    2,492.85/3,440.44 = 1,498.65/x
  3. Step 3: Cross multiply
    2,492.85x = 3,440.44 × 1,498.65
  4. Step 4: Simplify right side
    2,492.85x = 5,156,015.41
  5. Step 5: Solve for x
    x = 5,156,015.41/2,492.85
  6. Step 6: Final answer
    x = 2,068.32

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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.