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Finding the Fourth Proportional to 1,598.96, 2,206.32 and 1,010.30

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Solution

The fourth proportional to 1,598.96, 2,206.32 and 1,010.30 is: 1,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.96 : 2,206.32 = 1,010.30 : x
  2. Step 2: Convert to fraction form
    1,598.96/2,206.32 = 1,010.30/x
  3. Step 3: Cross multiply
    1,598.96x = 2,206.32 × 1,010.30
  4. Step 4: Simplify right side
    1,598.96x = 2,229,045.10
  5. Step 5: Solve for x
    x = 2,229,045.10/1,598.96
  6. Step 6: Final answer
    x = 1,394.06

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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.