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Finding the Fourth Proportional to 2,894.45, 4,340.75 and 1,045.31

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Solution

The fourth proportional to 2,894.45, 4,340.75 and 1,045.31 is: 1,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.45 : 4,340.75 = 1,045.31 : x
  2. Step 2: Convert to fraction form
    2,894.45/4,340.75 = 1,045.31/x
  3. Step 3: Cross multiply
    2,894.45x = 4,340.75 × 1,045.31
  4. Step 4: Simplify right side
    2,894.45x = 4,537,442.85
  5. Step 5: Solve for x
    x = 4,537,442.85/2,894.45
  6. Step 6: Final answer
    x = 1,567.64

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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.