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Finding the Fourth Proportional to 2,030.80, 3,046.46 and 714.46

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Solution

The fourth proportional to 2,030.80, 3,046.46 and 714.46 is: 1,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.80 : 3,046.46 = 714.46 : x
  2. Step 2: Convert to fraction form
    2,030.80/3,046.46 = 714.46/x
  3. Step 3: Cross multiply
    2,030.80x = 3,046.46 × 714.46
  4. Step 4: Simplify right side
    2,030.80x = 2,176,573.81
  5. Step 5: Solve for x
    x = 2,176,573.81/2,030.80
  6. Step 6: Final answer
    x = 1,071.78

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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.