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Finding the Fourth Proportional to 1,764.74, 2,646.90 and 466.18

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Solution

The fourth proportional to 1,764.74, 2,646.90 and 466.18 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.74 : 2,646.90 = 466.18 : x
  2. Step 2: Convert to fraction form
    1,764.74/2,646.90 = 466.18/x
  3. Step 3: Cross multiply
    1,764.74x = 2,646.90 × 466.18
  4. Step 4: Simplify right side
    1,764.74x = 1,233,925.22
  5. Step 5: Solve for x
    x = 1,233,925.22/1,764.74
  6. Step 6: Final answer
    x = 699.21

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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.