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Finding the Fourth Proportional to 1,303.80, 1,946.36 and 1,131.67

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Solution

The fourth proportional to 1,303.80, 1,946.36 and 1,131.67 is: 1,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.80 : 1,946.36 = 1,131.67 : x
  2. Step 2: Convert to fraction form
    1,303.80/1,946.36 = 1,131.67/x
  3. Step 3: Cross multiply
    1,303.80x = 1,946.36 × 1,131.67
  4. Step 4: Simplify right side
    1,303.80x = 2,202,637.22
  5. Step 5: Solve for x
    x = 2,202,637.22/1,303.80
  6. Step 6: Final answer
    x = 1,689.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.