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Finding the Fourth Proportional to 1,500.19, 2,069.65 and 909.70

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Solution

The fourth proportional to 1,500.19, 2,069.65 and 909.70 is: 1,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.19 : 2,069.65 = 909.70 : x
  2. Step 2: Convert to fraction form
    1,500.19/2,069.65 = 909.70/x
  3. Step 3: Cross multiply
    1,500.19x = 2,069.65 × 909.70
  4. Step 4: Simplify right side
    1,500.19x = 1,882,760.61
  5. Step 5: Solve for x
    x = 1,882,760.61/1,500.19
  6. Step 6: Final answer
    x = 1,255.01

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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.