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Finding the Fourth Proportional to 1,678.63, 2,515.82 and 948.62

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Solution

The fourth proportional to 1,678.63, 2,515.82 and 948.62 is: 1,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.63 : 2,515.82 = 948.62 : x
  2. Step 2: Convert to fraction form
    1,678.63/2,515.82 = 948.62/x
  3. Step 3: Cross multiply
    1,678.63x = 2,515.82 × 948.62
  4. Step 4: Simplify right side
    1,678.63x = 2,386,539.85
  5. Step 5: Solve for x
    x = 2,386,539.85/1,678.63
  6. Step 6: Final answer
    x = 1,421.72

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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.