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Finding the Fourth Proportional to 1,948.08, 2,923.59 and 715.80

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Solution

The fourth proportional to 1,948.08, 2,923.59 and 715.80 is: 1,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.08 : 2,923.59 = 715.80 : x
  2. Step 2: Convert to fraction form
    1,948.08/2,923.59 = 715.80/x
  3. Step 3: Cross multiply
    1,948.08x = 2,923.59 × 715.80
  4. Step 4: Simplify right side
    1,948.08x = 2,092,719.37
  5. Step 5: Solve for x
    x = 2,092,719.37/1,948.08
  6. Step 6: Final answer
    x = 1,074.25

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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.