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Finding the Fourth Proportional to 2,148, 3,215.76 and 1,529.76

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Solution

The fourth proportional to 2,148, 3,215.76 and 1,529.76 is: 2,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 3,215.76 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    2,148/3,215.76 = 1,529.76/x
  3. Step 3: Cross multiply
    2,148x = 3,215.76 × 1,529.76
  4. Step 4: Simplify right side
    2,148x = 4,919,341.02
  5. Step 5: Solve for x
    x = 4,919,341.02/2,148
  6. Step 6: Final answer
    x = 2,290.20

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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.