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Finding the Fourth Proportional to 2,492.64, 3,444.12 and 1,972.62

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Solution

The fourth proportional to 2,492.64, 3,444.12 and 1,972.62 is: 2,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.64 : 3,444.12 = 1,972.62 : x
  2. Step 2: Convert to fraction form
    2,492.64/3,444.12 = 1,972.62/x
  3. Step 3: Cross multiply
    2,492.64x = 3,444.12 × 1,972.62
  4. Step 4: Simplify right side
    2,492.64x = 6,793,939.99
  5. Step 5: Solve for x
    x = 6,793,939.99/2,492.64
  6. Step 6: Final answer
    x = 2,725.60

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1.5x scale

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.