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Finding the Fourth Proportional to 1,477.60, 2,233.12 and 1,452.08

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Solution

The fourth proportional to 1,477.60, 2,233.12 and 1,452.08 is: 2,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.60 : 2,233.12 = 1,452.08 : x
  2. Step 2: Convert to fraction form
    1,477.60/2,233.12 = 1,452.08/x
  3. Step 3: Cross multiply
    1,477.60x = 2,233.12 × 1,452.08
  4. Step 4: Simplify right side
    1,477.60x = 3,242,668.89
  5. Step 5: Solve for x
    x = 3,242,668.89/1,477.60
  6. Step 6: Final answer
    x = 2,194.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.