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Finding the Fourth Proportional to 2,407.81, 3,599.86 and 2,041.71

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Solution

The fourth proportional to 2,407.81, 3,599.86 and 2,041.71 is: 3,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.81 : 3,599.86 = 2,041.71 : x
  2. Step 2: Convert to fraction form
    2,407.81/3,599.86 = 2,041.71/x
  3. Step 3: Cross multiply
    2,407.81x = 3,599.86 × 2,041.71
  4. Step 4: Simplify right side
    2,407.81x = 7,349,848.77
  5. Step 5: Solve for x
    x = 7,349,848.77/2,407.81
  6. Step 6: Final answer
    x = 3,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.