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Finding the Fourth Proportional to 1,751.61, 2,624.22 and 1,459.55

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Solution

The fourth proportional to 1,751.61, 2,624.22 and 1,459.55 is: 2,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.61 : 2,624.22 = 1,459.55 : x
  2. Step 2: Convert to fraction form
    1,751.61/2,624.22 = 1,459.55/x
  3. Step 3: Cross multiply
    1,751.61x = 2,624.22 × 1,459.55
  4. Step 4: Simplify right side
    1,751.61x = 3,830,167.18
  5. Step 5: Solve for x
    x = 3,830,167.18/1,751.61
  6. Step 6: Final answer
    x = 2,186.66

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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.