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Finding the Fourth Proportional to 2,152.42, 3,228.03 and 592.05

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Solution

The fourth proportional to 2,152.42, 3,228.03 and 592.05 is: 887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.42 : 3,228.03 = 592.05 : x
  2. Step 2: Convert to fraction form
    2,152.42/3,228.03 = 592.05/x
  3. Step 3: Cross multiply
    2,152.42x = 3,228.03 × 592.05
  4. Step 4: Simplify right side
    2,152.42x = 1,911,167.27
  5. Step 5: Solve for x
    x = 1,911,167.27/2,152.42
  6. Step 6: Final answer
    x = 887.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.