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Finding the Fourth Proportional to 2,242.95, 3,362.23 and 1,256.23

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Solution

The fourth proportional to 2,242.95, 3,362.23 and 1,256.23 is: 1,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.95 : 3,362.23 = 1,256.23 : x
  2. Step 2: Convert to fraction form
    2,242.95/3,362.23 = 1,256.23/x
  3. Step 3: Cross multiply
    2,242.95x = 3,362.23 × 1,256.23
  4. Step 4: Simplify right side
    2,242.95x = 4,223,752.96
  5. Step 5: Solve for x
    x = 4,223,752.96/2,242.95
  6. Step 6: Final answer
    x = 1,883.13

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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.