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Finding the Fourth Proportional to 2,232.68, 3,348.64 and 589.24

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Solution

The fourth proportional to 2,232.68, 3,348.64 and 589.24 is: 883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.68 : 3,348.64 = 589.24 : x
  2. Step 2: Convert to fraction form
    2,232.68/3,348.64 = 589.24/x
  3. Step 3: Cross multiply
    2,232.68x = 3,348.64 × 589.24
  4. Step 4: Simplify right side
    2,232.68x = 1,973,152.63
  5. Step 5: Solve for x
    x = 1,973,152.63/2,232.68
  6. Step 6: Final answer
    x = 883.76

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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.