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Finding the Fourth Proportional to 1,903.12, 2,853.40 and 977.52

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Solution

The fourth proportional to 1,903.12, 2,853.40 and 977.52 is: 1,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.12 : 2,853.40 = 977.52 : x
  2. Step 2: Convert to fraction form
    1,903.12/2,853.40 = 977.52/x
  3. Step 3: Cross multiply
    1,903.12x = 2,853.40 × 977.52
  4. Step 4: Simplify right side
    1,903.12x = 2,789,255.57
  5. Step 5: Solve for x
    x = 2,789,255.57/1,903.12
  6. Step 6: Final answer
    x = 1,465.62

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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.