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Finding the Fourth Proportional to 1,330.53, 1,977.84 and 1,291.16

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Solution

The fourth proportional to 1,330.53, 1,977.84 and 1,291.16 is: 1,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.53 : 1,977.84 = 1,291.16 : x
  2. Step 2: Convert to fraction form
    1,330.53/1,977.84 = 1,291.16/x
  3. Step 3: Cross multiply
    1,330.53x = 1,977.84 × 1,291.16
  4. Step 4: Simplify right side
    1,330.53x = 2,553,698.01
  5. Step 5: Solve for x
    x = 2,553,698.01/1,330.53
  6. Step 6: Final answer
    x = 1,919.31

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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.