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Finding the Fourth Proportional to 3,019.61, 4,528.71 and 1,071.83

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Solution

The fourth proportional to 3,019.61, 4,528.71 and 1,071.83 is: 1,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.61 : 4,528.71 = 1,071.83 : x
  2. Step 2: Convert to fraction form
    3,019.61/4,528.71 = 1,071.83/x
  3. Step 3: Cross multiply
    3,019.61x = 4,528.71 × 1,071.83
  4. Step 4: Simplify right side
    3,019.61x = 4,854,018.56
  5. Step 5: Solve for x
    x = 4,854,018.56/3,019.61
  6. Step 6: Final answer
    x = 1,607.50

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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.