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Finding the Fourth Proportional to 2,030.90, 2,803.16 and 1,146.99

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Solution

The fourth proportional to 2,030.90, 2,803.16 and 1,146.99 is: 1,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.90 : 2,803.16 = 1,146.99 : x
  2. Step 2: Convert to fraction form
    2,030.90/2,803.16 = 1,146.99/x
  3. Step 3: Cross multiply
    2,030.90x = 2,803.16 × 1,146.99
  4. Step 4: Simplify right side
    2,030.90x = 3,215,190.75
  5. Step 5: Solve for x
    x = 3,215,190.75/2,030.90
  6. Step 6: Final answer
    x = 1,583.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.