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Finding the Fourth Proportional to 2,303.24, 3,454.56 and 659.93

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Solution

The fourth proportional to 2,303.24, 3,454.56 and 659.93 is: 989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.24 : 3,454.56 = 659.93 : x
  2. Step 2: Convert to fraction form
    2,303.24/3,454.56 = 659.93/x
  3. Step 3: Cross multiply
    2,303.24x = 3,454.56 × 659.93
  4. Step 4: Simplify right side
    2,303.24x = 2,279,750.51
  5. Step 5: Solve for x
    x = 2,279,750.51/2,303.24
  6. Step 6: Final answer
    x = 989.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.