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Finding the Fourth Proportional to 2,495.55, 3,742.89 and 740.53

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Solution

The fourth proportional to 2,495.55, 3,742.89 and 740.53 is: 1,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.55 : 3,742.89 = 740.53 : x
  2. Step 2: Convert to fraction form
    2,495.55/3,742.89 = 740.53/x
  3. Step 3: Cross multiply
    2,495.55x = 3,742.89 × 740.53
  4. Step 4: Simplify right side
    2,495.55x = 2,771,722.33
  5. Step 5: Solve for x
    x = 2,771,722.33/2,495.55
  6. Step 6: Final answer
    x = 1,110.67

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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.