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Finding the Fourth Proportional to 2,333.71, 3,496.92 and 1,985.62

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Solution

The fourth proportional to 2,333.71, 3,496.92 and 1,985.62 is: 2,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.71 : 3,496.92 = 1,985.62 : x
  2. Step 2: Convert to fraction form
    2,333.71/3,496.92 = 1,985.62/x
  3. Step 3: Cross multiply
    2,333.71x = 3,496.92 × 1,985.62
  4. Step 4: Simplify right side
    2,333.71x = 6,943,543.01
  5. Step 5: Solve for x
    x = 6,943,543.01/2,333.71
  6. Step 6: Final answer
    x = 2,975.32

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1.5x scale

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.