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Finding the Fourth Proportional to 2,385.34, 3,563.71 and 2,303.50

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Solution

The fourth proportional to 2,385.34, 3,563.71 and 2,303.50 is: 3,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.34 : 3,563.71 = 2,303.50 : x
  2. Step 2: Convert to fraction form
    2,385.34/3,563.71 = 2,303.50/x
  3. Step 3: Cross multiply
    2,385.34x = 3,563.71 × 2,303.50
  4. Step 4: Simplify right side
    2,385.34x = 8,209,005.99
  5. Step 5: Solve for x
    x = 8,209,005.99/2,385.34
  6. Step 6: Final answer
    x = 3,441.44

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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.