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Finding the Fourth Proportional to 1,303.12, 1,952.76 and 1,207.12

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Solution

The fourth proportional to 1,303.12, 1,952.76 and 1,207.12 is: 1,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.12 : 1,952.76 = 1,207.12 : x
  2. Step 2: Convert to fraction form
    1,303.12/1,952.76 = 1,207.12/x
  3. Step 3: Cross multiply
    1,303.12x = 1,952.76 × 1,207.12
  4. Step 4: Simplify right side
    1,303.12x = 2,357,215.65
  5. Step 5: Solve for x
    x = 2,357,215.65/1,303.12
  6. Step 6: Final answer
    x = 1,808.90

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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.