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Finding the Fourth Proportional to 2,195.51, 3,293.57 and 714.24

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Solution

The fourth proportional to 2,195.51, 3,293.57 and 714.24 is: 1,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.51 : 3,293.57 = 714.24 : x
  2. Step 2: Convert to fraction form
    2,195.51/3,293.57 = 714.24/x
  3. Step 3: Cross multiply
    2,195.51x = 3,293.57 × 714.24
  4. Step 4: Simplify right side
    2,195.51x = 2,352,401.22
  5. Step 5: Solve for x
    x = 2,352,401.22/2,195.51
  6. Step 6: Final answer
    x = 1,071.46

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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.