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Finding the Fourth Proportional to 2,528, 3,792.64 and 704

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Solution

The fourth proportional to 2,528, 3,792.64 and 704 is: 1,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528 : 3,792.64 = 704 : x
  2. Step 2: Convert to fraction form
    2,528/3,792.64 = 704/x
  3. Step 3: Cross multiply
    2,528x = 3,792.64 × 704
  4. Step 4: Simplify right side
    2,528x = 2,670,018.56
  5. Step 5: Solve for x
    x = 2,670,018.56/2,528
  6. Step 6: Final answer
    x = 1,056.18

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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.