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Finding the Fourth Proportional to 2,155.68, 3,233.55 and 595.71

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Solution

The fourth proportional to 2,155.68, 3,233.55 and 595.71 is: 893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.68 : 3,233.55 = 595.71 : x
  2. Step 2: Convert to fraction form
    2,155.68/3,233.55 = 595.71/x
  3. Step 3: Cross multiply
    2,155.68x = 3,233.55 × 595.71
  4. Step 4: Simplify right side
    2,155.68x = 1,926,258.07
  5. Step 5: Solve for x
    x = 1,926,258.07/2,155.68
  6. Step 6: Final answer
    x = 893.57

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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.