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Finding the Fourth Proportional to 2,909.30, 4,014.86 and 1,583.01

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Solution

The fourth proportional to 2,909.30, 4,014.86 and 1,583.01 is: 2,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.30 : 4,014.86 = 1,583.01 : x
  2. Step 2: Convert to fraction form
    2,909.30/4,014.86 = 1,583.01/x
  3. Step 3: Cross multiply
    2,909.30x = 4,014.86 × 1,583.01
  4. Step 4: Simplify right side
    2,909.30x = 6,355,555.61
  5. Step 5: Solve for x
    x = 6,355,555.61/2,909.30
  6. Step 6: Final answer
    x = 2,184.57

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Why These Related Problems?

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