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Finding the Fourth Proportional to 2,770, 3,822.87 and 1,528

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Solution

The fourth proportional to 2,770, 3,822.87 and 1,528 is: 2,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 3,822.87 = 1,528 : x
  2. Step 2: Convert to fraction form
    2,770/3,822.87 = 1,528/x
  3. Step 3: Cross multiply
    2,770x = 3,822.87 × 1,528
  4. Step 4: Simplify right side
    2,770x = 5,841,345.36
  5. Step 5: Solve for x
    x = 5,841,345.36/2,770
  6. Step 6: Final answer
    x = 2,108.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.