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Finding the Fourth Proportional to 1,670.85, 2,306.00 and 1,008.07

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Solution

The fourth proportional to 1,670.85, 2,306.00 and 1,008.07 is: 1,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.85 : 2,306.00 = 1,008.07 : x
  2. Step 2: Convert to fraction form
    1,670.85/2,306.00 = 1,008.07/x
  3. Step 3: Cross multiply
    1,670.85x = 2,306.00 × 1,008.07
  4. Step 4: Simplify right side
    1,670.85x = 2,324,598.61
  5. Step 5: Solve for x
    x = 2,324,598.61/1,670.85
  6. Step 6: Final answer
    x = 1,391.27

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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.