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Finding the Fourth Proportional to 1,909.05, 2,862.42 and 921.26

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Solution

The fourth proportional to 1,909.05, 2,862.42 and 921.26 is: 1,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.05 : 2,862.42 = 921.26 : x
  2. Step 2: Convert to fraction form
    1,909.05/2,862.42 = 921.26/x
  3. Step 3: Cross multiply
    1,909.05x = 2,862.42 × 921.26
  4. Step 4: Simplify right side
    1,909.05x = 2,637,014.13
  5. Step 5: Solve for x
    x = 2,637,014.13/1,909.05
  6. Step 6: Final answer
    x = 1,381.32

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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.