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Finding the Fourth Proportional to 2,952.08, 4,074.03 and 1,774.16

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Solution

The fourth proportional to 2,952.08, 4,074.03 and 1,774.16 is: 2,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.08 : 4,074.03 = 1,774.16 : x
  2. Step 2: Convert to fraction form
    2,952.08/4,074.03 = 1,774.16/x
  3. Step 3: Cross multiply
    2,952.08x = 4,074.03 × 1,774.16
  4. Step 4: Simplify right side
    2,952.08x = 7,227,981.06
  5. Step 5: Solve for x
    x = 7,227,981.06/2,952.08
  6. Step 6: Final answer
    x = 2,448.44

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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.