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Finding the Fourth Proportional to 1,776.44, 2,455.38 and 1,565

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Solution

The fourth proportional to 1,776.44, 2,455.38 and 1,565 is: 2,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.44 : 2,455.38 = 1,565 : x
  2. Step 2: Convert to fraction form
    1,776.44/2,455.38 = 1,565/x
  3. Step 3: Cross multiply
    1,776.44x = 2,455.38 × 1,565
  4. Step 4: Simplify right side
    1,776.44x = 3,842,669.70
  5. Step 5: Solve for x
    x = 3,842,669.70/1,776.44
  6. Step 6: Final answer
    x = 2,163.13

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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.