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Finding the Fourth Proportional to 2,909.01, 4,014.47 and 1,582.71

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Solution

The fourth proportional to 2,909.01, 4,014.47 and 1,582.71 is: 2,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.01 : 4,014.47 = 1,582.71 : x
  2. Step 2: Convert to fraction form
    2,909.01/4,014.47 = 1,582.71/x
  3. Step 3: Cross multiply
    2,909.01x = 4,014.47 × 1,582.71
  4. Step 4: Simplify right side
    2,909.01x = 6,353,741.81
  5. Step 5: Solve for x
    x = 6,353,741.81/2,909.01
  6. Step 6: Final answer
    x = 2,184.16

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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.