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Finding the Fourth Proportional to 1,679.18, 2,518.36 and 705.02

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Solution

The fourth proportional to 1,679.18, 2,518.36 and 705.02 is: 1,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.18 : 2,518.36 = 705.02 : x
  2. Step 2: Convert to fraction form
    1,679.18/2,518.36 = 705.02/x
  3. Step 3: Cross multiply
    1,679.18x = 2,518.36 × 705.02
  4. Step 4: Simplify right side
    1,679.18x = 1,775,479.81
  5. Step 5: Solve for x
    x = 1,775,479.81/1,679.18
  6. Step 6: Final answer
    x = 1,057.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.