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Finding the Fourth Proportional to 1,499.64, 2,058.49 and 1,330.14

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Solution

The fourth proportional to 1,499.64, 2,058.49 and 1,330.14 is: 1,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.64 : 2,058.49 = 1,330.14 : x
  2. Step 2: Convert to fraction form
    1,499.64/2,058.49 = 1,330.14/x
  3. Step 3: Cross multiply
    1,499.64x = 2,058.49 × 1,330.14
  4. Step 4: Simplify right side
    1,499.64x = 2,738,079.89
  5. Step 5: Solve for x
    x = 2,738,079.89/1,499.64
  6. Step 6: Final answer
    x = 1,825.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.