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Finding the Fourth Proportional to 1,667.98, 2,500.35 and 693.55

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Solution

The fourth proportional to 1,667.98, 2,500.35 and 693.55 is: 1,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.98 : 2,500.35 = 693.55 : x
  2. Step 2: Convert to fraction form
    1,667.98/2,500.35 = 693.55/x
  3. Step 3: Cross multiply
    1,667.98x = 2,500.35 × 693.55
  4. Step 4: Simplify right side
    1,667.98x = 1,734,117.74
  5. Step 5: Solve for x
    x = 1,734,117.74/1,667.98
  6. Step 6: Final answer
    x = 1,039.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.