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Finding the Fourth Proportional to 2,232.63, 3,348.95 and 589.04

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Solution

The fourth proportional to 2,232.63, 3,348.95 and 589.04 is: 883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.63 : 3,348.95 = 589.04 : x
  2. Step 2: Convert to fraction form
    2,232.63/3,348.95 = 589.04/x
  3. Step 3: Cross multiply
    2,232.63x = 3,348.95 × 589.04
  4. Step 4: Simplify right side
    2,232.63x = 1,972,665.51
  5. Step 5: Solve for x
    x = 1,972,665.51/2,232.63
  6. Step 6: Final answer
    x = 883.56

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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.