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Finding the Fourth Proportional to 1,946.13, 2,918.78 and 630

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Solution

The fourth proportional to 1,946.13, 2,918.78 and 630 is: 944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.13 : 2,918.78 = 630 : x
  2. Step 2: Convert to fraction form
    1,946.13/2,918.78 = 630/x
  3. Step 3: Cross multiply
    1,946.13x = 2,918.78 × 630
  4. Step 4: Simplify right side
    1,946.13x = 1,838,831.40
  5. Step 5: Solve for x
    x = 1,838,831.40/1,946.13
  6. Step 6: Final answer
    x = 944.87

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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.