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Finding the Fourth Proportional to 1,578.68, 2,368.06 and 929.88

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Solution

The fourth proportional to 1,578.68, 2,368.06 and 929.88 is: 1,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.68 : 2,368.06 = 929.88 : x
  2. Step 2: Convert to fraction form
    1,578.68/2,368.06 = 929.88/x
  3. Step 3: Cross multiply
    1,578.68x = 2,368.06 × 929.88
  4. Step 4: Simplify right side
    1,578.68x = 2,202,011.63
  5. Step 5: Solve for x
    x = 2,202,011.63/1,578.68
  6. Step 6: Final answer
    x = 1,394.84

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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.