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Finding the Fourth Proportional to 2,894.68, 4,340.91 and 1,045.33

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Solution

The fourth proportional to 2,894.68, 4,340.91 and 1,045.33 is: 1,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 4,340.91 = 1,045.33 : x
  2. Step 2: Convert to fraction form
    2,894.68/4,340.91 = 1,045.33/x
  3. Step 3: Cross multiply
    2,894.68x = 4,340.91 × 1,045.33
  4. Step 4: Simplify right side
    2,894.68x = 4,537,683.45
  5. Step 5: Solve for x
    x = 4,537,683.45/2,894.68
  6. Step 6: Final answer
    x = 1,567.59

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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.