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Finding the Fourth Proportional to 2,328.76, 3,465.65 and 2,251

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Solution

The fourth proportional to 2,328.76, 3,465.65 and 2,251 is: 3,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.76 : 3,465.65 = 2,251 : x
  2. Step 2: Convert to fraction form
    2,328.76/3,465.65 = 2,251/x
  3. Step 3: Cross multiply
    2,328.76x = 3,465.65 × 2,251
  4. Step 4: Simplify right side
    2,328.76x = 7,801,178.15
  5. Step 5: Solve for x
    x = 7,801,178.15/2,328.76
  6. Step 6: Final answer
    x = 3,349.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.