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Finding the Fourth Proportional to 1,433.51, 1,977.81 and 928.57

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Solution

The fourth proportional to 1,433.51, 1,977.81 and 928.57 is: 1,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.51 : 1,977.81 = 928.57 : x
  2. Step 2: Convert to fraction form
    1,433.51/1,977.81 = 928.57/x
  3. Step 3: Cross multiply
    1,433.51x = 1,977.81 × 928.57
  4. Step 4: Simplify right side
    1,433.51x = 1,836,535.03
  5. Step 5: Solve for x
    x = 1,836,535.03/1,433.51
  6. Step 6: Final answer
    x = 1,281.15

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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.