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Finding the Fourth Proportional to 2,030.78, 3,046.16 and 715.50

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Solution

The fourth proportional to 2,030.78, 3,046.16 and 715.50 is: 1,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.78 : 3,046.16 = 715.50 : x
  2. Step 2: Convert to fraction form
    2,030.78/3,046.16 = 715.50/x
  3. Step 3: Cross multiply
    2,030.78x = 3,046.16 × 715.50
  4. Step 4: Simplify right side
    2,030.78x = 2,179,527.48
  5. Step 5: Solve for x
    x = 2,179,527.48/2,030.78
  6. Step 6: Final answer
    x = 1,073.25

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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.