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Finding the Fourth Proportional to 1,509.70, 2,264.96 and 1,365.11

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Solution

The fourth proportional to 1,509.70, 2,264.96 and 1,365.11 is: 2,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.70 : 2,264.96 = 1,365.11 : x
  2. Step 2: Convert to fraction form
    1,509.70/2,264.96 = 1,365.11/x
  3. Step 3: Cross multiply
    1,509.70x = 2,264.96 × 1,365.11
  4. Step 4: Simplify right side
    1,509.70x = 3,091,919.55
  5. Step 5: Solve for x
    x = 3,091,919.55/1,509.70
  6. Step 6: Final answer
    x = 2,048.04

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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.