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Finding the Fourth Proportional to 2,492.16, 3,738.08 and 952.32

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Solution

The fourth proportional to 2,492.16, 3,738.08 and 952.32 is: 1,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.16 : 3,738.08 = 952.32 : x
  2. Step 2: Convert to fraction form
    2,492.16/3,738.08 = 952.32/x
  3. Step 3: Cross multiply
    2,492.16x = 3,738.08 × 952.32
  4. Step 4: Simplify right side
    2,492.16x = 3,559,848.35
  5. Step 5: Solve for x
    x = 3,559,848.35/2,492.16
  6. Step 6: Final answer
    x = 1,428.42

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1.5x scale

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.