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Finding the Fourth Proportional to 1,466.39, 2,199.54 and 370.74

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Solution

The fourth proportional to 1,466.39, 2,199.54 and 370.74 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.39 : 2,199.54 = 370.74 : x
  2. Step 2: Convert to fraction form
    1,466.39/2,199.54 = 370.74/x
  3. Step 3: Cross multiply
    1,466.39x = 2,199.54 × 370.74
  4. Step 4: Simplify right side
    1,466.39x = 815,457.46
  5. Step 5: Solve for x
    x = 815,457.46/1,466.39
  6. Step 6: Final answer
    x = 556.10

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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.