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Finding the Fourth Proportional to 1,678.60, 2,519.10 and 947.40

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Solution

The fourth proportional to 1,678.60, 2,519.10 and 947.40 is: 1,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.60 : 2,519.10 = 947.40 : x
  2. Step 2: Convert to fraction form
    1,678.60/2,519.10 = 947.40/x
  3. Step 3: Cross multiply
    1,678.60x = 2,519.10 × 947.40
  4. Step 4: Simplify right side
    1,678.60x = 2,386,595.34
  5. Step 5: Solve for x
    x = 2,386,595.34/1,678.60
  6. Step 6: Final answer
    x = 1,421.78

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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.