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Finding the Fourth Proportional to 2,316.58, 3,475.36 and 1,329.85

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Solution

The fourth proportional to 2,316.58, 3,475.36 and 1,329.85 is: 1,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.58 : 3,475.36 = 1,329.85 : x
  2. Step 2: Convert to fraction form
    2,316.58/3,475.36 = 1,329.85/x
  3. Step 3: Cross multiply
    2,316.58x = 3,475.36 × 1,329.85
  4. Step 4: Simplify right side
    2,316.58x = 4,621,707.50
  5. Step 5: Solve for x
    x = 4,621,707.50/2,316.58
  6. Step 6: Final answer
    x = 1,995.06

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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.