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Finding the Fourth Proportional to 1,763.04, 2,433.04 and 977.10

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Solution

The fourth proportional to 1,763.04, 2,433.04 and 977.10 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.04 : 2,433.04 = 977.10 : x
  2. Step 2: Convert to fraction form
    1,763.04/2,433.04 = 977.10/x
  3. Step 3: Cross multiply
    1,763.04x = 2,433.04 × 977.10
  4. Step 4: Simplify right side
    1,763.04x = 2,377,323.38
  5. Step 5: Solve for x
    x = 2,377,323.38/1,763.04
  6. Step 6: Final answer
    x = 1,348.42

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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.