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Finding the Fourth Proportional to 1,695.51, 2,339.53 and 949.50

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Solution

The fourth proportional to 1,695.51, 2,339.53 and 949.50 is: 1,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.51 : 2,339.53 = 949.50 : x
  2. Step 2: Convert to fraction form
    1,695.51/2,339.53 = 949.50/x
  3. Step 3: Cross multiply
    1,695.51x = 2,339.53 × 949.50
  4. Step 4: Simplify right side
    1,695.51x = 2,221,372.04
  5. Step 5: Solve for x
    x = 2,221,372.04/1,695.51
  6. Step 6: Final answer
    x = 1,310.15

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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.