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Finding the Fourth Proportional to 1,888.34, 2,832.26 and 718.02

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Solution

The fourth proportional to 1,888.34, 2,832.26 and 718.02 is: 1,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.34 : 2,832.26 = 718.02 : x
  2. Step 2: Convert to fraction form
    1,888.34/2,832.26 = 718.02/x
  3. Step 3: Cross multiply
    1,888.34x = 2,832.26 × 718.02
  4. Step 4: Simplify right side
    1,888.34x = 2,033,615.74
  5. Step 5: Solve for x
    x = 2,033,615.74/1,888.34
  6. Step 6: Final answer
    x = 1,076.94

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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.