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Finding the Fourth Proportional to 1,913.32, 2,864.31 and 1,045

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Solution

The fourth proportional to 1,913.32, 2,864.31 and 1,045 is: 1,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.32 : 2,864.31 = 1,045 : x
  2. Step 2: Convert to fraction form
    1,913.32/2,864.31 = 1,045/x
  3. Step 3: Cross multiply
    1,913.32x = 2,864.31 × 1,045
  4. Step 4: Simplify right side
    1,913.32x = 2,993,203.95
  5. Step 5: Solve for x
    x = 2,993,203.95/1,913.32
  6. Step 6: Final answer
    x = 1,564.40

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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.