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Finding the Fourth Proportional to 1,948.50, 2,922.75 and 580.50

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Solution

The fourth proportional to 1,948.50, 2,922.75 and 580.50 is: 870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.50 : 2,922.75 = 580.50 : x
  2. Step 2: Convert to fraction form
    1,948.50/2,922.75 = 580.50/x
  3. Step 3: Cross multiply
    1,948.50x = 2,922.75 × 580.50
  4. Step 4: Simplify right side
    1,948.50x = 1,696,656.38
  5. Step 5: Solve for x
    x = 1,696,656.38/1,948.50
  6. Step 6: Final answer
    x = 870.75

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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.