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Finding the Fourth Proportional to 1,303.76, 1,951.84 and 1,015.40

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Solution

The fourth proportional to 1,303.76, 1,951.84 and 1,015.40 is: 1,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.76 : 1,951.84 = 1,015.40 : x
  2. Step 2: Convert to fraction form
    1,303.76/1,951.84 = 1,015.40/x
  3. Step 3: Cross multiply
    1,303.76x = 1,951.84 × 1,015.40
  4. Step 4: Simplify right side
    1,303.76x = 1,981,898.34
  5. Step 5: Solve for x
    x = 1,981,898.34/1,303.76
  6. Step 6: Final answer
    x = 1,520.14

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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.