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Finding the Fourth Proportional to 2,322.79, 3,484.28 and 591.46

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Solution

The fourth proportional to 2,322.79, 3,484.28 and 591.46 is: 887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.79 : 3,484.28 = 591.46 : x
  2. Step 2: Convert to fraction form
    2,322.79/3,484.28 = 591.46/x
  3. Step 3: Cross multiply
    2,322.79x = 3,484.28 × 591.46
  4. Step 4: Simplify right side
    2,322.79x = 2,060,812.25
  5. Step 5: Solve for x
    x = 2,060,812.25/2,322.79
  6. Step 6: Final answer
    x = 887.21

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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.