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Finding the Fourth Proportional to 2,345.34, 3,509.50 and 2,075.62

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Solution

The fourth proportional to 2,345.34, 3,509.50 and 2,075.62 is: 3,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.34 : 3,509.50 = 2,075.62 : x
  2. Step 2: Convert to fraction form
    2,345.34/3,509.50 = 2,075.62/x
  3. Step 3: Cross multiply
    2,345.34x = 3,509.50 × 2,075.62
  4. Step 4: Simplify right side
    2,345.34x = 7,284,388.39
  5. Step 5: Solve for x
    x = 7,284,388.39/2,345.34
  6. Step 6: Final answer
    x = 3,105.90

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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.