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Finding the Fourth Proportional to 1,759.74, 2,642.64 and 1,681.77

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Solution

The fourth proportional to 1,759.74, 2,642.64 and 1,681.77 is: 2,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.74 : 2,642.64 = 1,681.77 : x
  2. Step 2: Convert to fraction form
    1,759.74/2,642.64 = 1,681.77/x
  3. Step 3: Cross multiply
    1,759.74x = 2,642.64 × 1,681.77
  4. Step 4: Simplify right side
    1,759.74x = 4,444,312.67
  5. Step 5: Solve for x
    x = 4,444,312.67/1,759.74
  6. Step 6: Final answer
    x = 2,525.55

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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.