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Finding the Fourth Proportional to 3,120.91, 4,681.40 and 899.79

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Solution

The fourth proportional to 3,120.91, 4,681.40 and 899.79 is: 1,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.91 : 4,681.40 = 899.79 : x
  2. Step 2: Convert to fraction form
    3,120.91/4,681.40 = 899.79/x
  3. Step 3: Cross multiply
    3,120.91x = 4,681.40 × 899.79
  4. Step 4: Simplify right side
    3,120.91x = 4,212,281.18
  5. Step 5: Solve for x
    x = 4,212,281.18/3,120.91
  6. Step 6: Final answer
    x = 1,349.70

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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.