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Finding the Fourth Proportional to 1,504.16, 2,253.35 and 917.42

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Solution

The fourth proportional to 1,504.16, 2,253.35 and 917.42 is: 1,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.16 : 2,253.35 = 917.42 : x
  2. Step 2: Convert to fraction form
    1,504.16/2,253.35 = 917.42/x
  3. Step 3: Cross multiply
    1,504.16x = 2,253.35 × 917.42
  4. Step 4: Simplify right side
    1,504.16x = 2,067,252.50
  5. Step 5: Solve for x
    x = 2,067,252.50/1,504.16
  6. Step 6: Final answer
    x = 1,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.