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Finding the Fourth Proportional to 2,894.90, 4,339.73 and 1,045.58

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Solution

The fourth proportional to 2,894.90, 4,339.73 and 1,045.58 is: 1,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.90 : 4,339.73 = 1,045.58 : x
  2. Step 2: Convert to fraction form
    2,894.90/4,339.73 = 1,045.58/x
  3. Step 3: Cross multiply
    2,894.90x = 4,339.73 × 1,045.58
  4. Step 4: Simplify right side
    2,894.90x = 4,537,507.97
  5. Step 5: Solve for x
    x = 4,537,507.97/2,894.90
  6. Step 6: Final answer
    x = 1,567.42

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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.