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Finding the Fourth Proportional to 2,303.19, 3,453.76 and 659.36

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Solution

The fourth proportional to 2,303.19, 3,453.76 and 659.36 is: 988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.19 : 3,453.76 = 659.36 : x
  2. Step 2: Convert to fraction form
    2,303.19/3,453.76 = 659.36/x
  3. Step 3: Cross multiply
    2,303.19x = 3,453.76 × 659.36
  4. Step 4: Simplify right side
    2,303.19x = 2,277,271.19
  5. Step 5: Solve for x
    x = 2,277,271.19/2,303.19
  6. Step 6: Final answer
    x = 988.75

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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.