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Finding the Fourth Proportional to 1,477.25, 2,214.25 and 1,304.34

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Solution

The fourth proportional to 1,477.25, 2,214.25 and 1,304.34 is: 1,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.25 : 2,214.25 = 1,304.34 : x
  2. Step 2: Convert to fraction form
    1,477.25/2,214.25 = 1,304.34/x
  3. Step 3: Cross multiply
    1,477.25x = 2,214.25 × 1,304.34
  4. Step 4: Simplify right side
    1,477.25x = 2,888,130.62
  5. Step 5: Solve for x
    x = 2,888,130.62/1,477.25
  6. Step 6: Final answer
    x = 1,955.07

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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.