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Finding the Fourth Proportional to 1,535, 2,119.04 and 1,480.28

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Solution

The fourth proportional to 1,535, 2,119.04 and 1,480.28 is: 2,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535 : 2,119.04 = 1,480.28 : x
  2. Step 2: Convert to fraction form
    1,535/2,119.04 = 1,480.28/x
  3. Step 3: Cross multiply
    1,535x = 2,119.04 × 1,480.28
  4. Step 4: Simplify right side
    1,535x = 3,136,772.53
  5. Step 5: Solve for x
    x = 3,136,772.53/1,535
  6. Step 6: Final answer
    x = 2,043.50

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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.