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Finding the Fourth Proportional to 1,923.39, 2,884.08 and 882.50

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Solution

The fourth proportional to 1,923.39, 2,884.08 and 882.50 is: 1,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.39 : 2,884.08 = 882.50 : x
  2. Step 2: Convert to fraction form
    1,923.39/2,884.08 = 882.50/x
  3. Step 3: Cross multiply
    1,923.39x = 2,884.08 × 882.50
  4. Step 4: Simplify right side
    1,923.39x = 2,545,186.18
  5. Step 5: Solve for x
    x = 2,545,186.18/1,923.39
  6. Step 6: Final answer
    x = 1,323.28

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1.5x scale

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.