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Finding the Fourth Proportional to 2,152.62, 3,228.53 and 592.70

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Solution

The fourth proportional to 2,152.62, 3,228.53 and 592.70 is: 888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.62 : 3,228.53 = 592.70 : x
  2. Step 2: Convert to fraction form
    2,152.62/3,228.53 = 592.70/x
  3. Step 3: Cross multiply
    2,152.62x = 3,228.53 × 592.70
  4. Step 4: Simplify right side
    2,152.62x = 1,913,530.62
  5. Step 5: Solve for x
    x = 1,913,530.62/2,152.62
  6. Step 6: Final answer
    x = 888.93

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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.