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Finding the Fourth Proportional to 2,909.47, 4,015.08 and 1,583.16

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Solution

The fourth proportional to 2,909.47, 4,015.08 and 1,583.16 is: 2,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.47 : 4,015.08 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    2,909.47/4,015.08 = 1,583.16/x
  3. Step 3: Cross multiply
    2,909.47x = 4,015.08 × 1,583.16
  4. Step 4: Simplify right side
    2,909.47x = 6,356,506.14
  5. Step 5: Solve for x
    x = 6,356,506.14/2,909.47
  6. Step 6: Final answer
    x = 2,184.77

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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.