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Finding the Fourth Proportional to 2,909.34, 4,014.97 and 1,583.10

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Solution

The fourth proportional to 2,909.34, 4,014.97 and 1,583.10 is: 2,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.34 : 4,014.97 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    2,909.34/4,014.97 = 1,583.10/x
  3. Step 3: Cross multiply
    2,909.34x = 4,014.97 × 1,583.10
  4. Step 4: Simplify right side
    2,909.34x = 6,356,095.05
  5. Step 5: Solve for x
    x = 6,356,095.05/2,909.34
  6. Step 6: Final answer
    x = 2,184.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.