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Finding the Fourth Proportional to 2,383.43, 3,560.05 and 1,895.00

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Solution

The fourth proportional to 2,383.43, 3,560.05 and 1,895.00 is: 2,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.43 : 3,560.05 = 1,895.00 : x
  2. Step 2: Convert to fraction form
    2,383.43/3,560.05 = 1,895.00/x
  3. Step 3: Cross multiply
    2,383.43x = 3,560.05 × 1,895.00
  4. Step 4: Simplify right side
    2,383.43x = 6,746,279.32
  5. Step 5: Solve for x
    x = 6,746,279.32/2,383.43
  6. Step 6: Final answer
    x = 2,830.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.