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Finding the Fourth Proportional to 1,670.54, 2,306.14 and 1,111.92

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Solution

The fourth proportional to 1,670.54, 2,306.14 and 1,111.92 is: 1,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.54 : 2,306.14 = 1,111.92 : x
  2. Step 2: Convert to fraction form
    1,670.54/2,306.14 = 1,111.92/x
  3. Step 3: Cross multiply
    1,670.54x = 2,306.14 × 1,111.92
  4. Step 4: Simplify right side
    1,670.54x = 2,564,243.19
  5. Step 5: Solve for x
    x = 2,564,243.19/1,670.54
  6. Step 6: Final answer
    x = 1,534.98

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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.