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Finding the Fourth Proportional to 1,401.90, 1,931.05 and 1,069.75

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Solution

The fourth proportional to 1,401.90, 1,931.05 and 1,069.75 is: 1,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.90 : 1,931.05 = 1,069.75 : x
  2. Step 2: Convert to fraction form
    1,401.90/1,931.05 = 1,069.75/x
  3. Step 3: Cross multiply
    1,401.90x = 1,931.05 × 1,069.75
  4. Step 4: Simplify right side
    1,401.90x = 2,065,740.74
  5. Step 5: Solve for x
    x = 2,065,740.74/1,401.90
  6. Step 6: Final answer
    x = 1,473.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.