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Finding the Fourth Proportional to 2,893.67, 4,341.62 and 1,506.14

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Solution

The fourth proportional to 2,893.67, 4,341.62 and 1,506.14 is: 2,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.67 : 4,341.62 = 1,506.14 : x
  2. Step 2: Convert to fraction form
    2,893.67/4,341.62 = 1,506.14/x
  3. Step 3: Cross multiply
    2,893.67x = 4,341.62 × 1,506.14
  4. Step 4: Simplify right side
    2,893.67x = 6,539,058.31
  5. Step 5: Solve for x
    x = 6,539,058.31/2,893.67
  6. Step 6: Final answer
    x = 2,259.78

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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.