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Finding the Fourth Proportional to 1,530.43, 2,110.86 and 970.41

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Solution

The fourth proportional to 1,530.43, 2,110.86 and 970.41 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.43 : 2,110.86 = 970.41 : x
  2. Step 2: Convert to fraction form
    1,530.43/2,110.86 = 970.41/x
  3. Step 3: Cross multiply
    1,530.43x = 2,110.86 × 970.41
  4. Step 4: Simplify right side
    1,530.43x = 2,048,399.65
  5. Step 5: Solve for x
    x = 2,048,399.65/1,530.43
  6. Step 6: Final answer
    x = 1,338.45

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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.