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Finding the Fourth Proportional to 2,865.96, 4,300.32 and 1,307.10

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Solution

The fourth proportional to 2,865.96, 4,300.32 and 1,307.10 is: 1,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.96 : 4,300.32 = 1,307.10 : x
  2. Step 2: Convert to fraction form
    2,865.96/4,300.32 = 1,307.10/x
  3. Step 3: Cross multiply
    2,865.96x = 4,300.32 × 1,307.10
  4. Step 4: Simplify right side
    2,865.96x = 5,620,948.27
  5. Step 5: Solve for x
    x = 5,620,948.27/2,865.96
  6. Step 6: Final answer
    x = 1,961.28

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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.