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Finding the Fourth Proportional to 1,317.64, 1,818.90 and 1,002.94

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Solution

The fourth proportional to 1,317.64, 1,818.90 and 1,002.94 is: 1,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.64 : 1,818.90 = 1,002.94 : x
  2. Step 2: Convert to fraction form
    1,317.64/1,818.90 = 1,002.94/x
  3. Step 3: Cross multiply
    1,317.64x = 1,818.90 × 1,002.94
  4. Step 4: Simplify right side
    1,317.64x = 1,824,247.57
  5. Step 5: Solve for x
    x = 1,824,247.57/1,317.64
  6. Step 6: Final answer
    x = 1,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.