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Finding the Fourth Proportional to 2,303.40, 3,455.64 and 743.52

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Solution

The fourth proportional to 2,303.40, 3,455.64 and 743.52 is: 1,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.40 : 3,455.64 = 743.52 : x
  2. Step 2: Convert to fraction form
    2,303.40/3,455.64 = 743.52/x
  3. Step 3: Cross multiply
    2,303.40x = 3,455.64 × 743.52
  4. Step 4: Simplify right side
    2,303.40x = 2,569,337.45
  5. Step 5: Solve for x
    x = 2,569,337.45/2,303.40
  6. Step 6: Final answer
    x = 1,115.45

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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.