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Finding the Fourth Proportional to 1,647.12, 2,465.52 and 914.34

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Solution

The fourth proportional to 1,647.12, 2,465.52 and 914.34 is: 1,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.12 : 2,465.52 = 914.34 : x
  2. Step 2: Convert to fraction form
    1,647.12/2,465.52 = 914.34/x
  3. Step 3: Cross multiply
    1,647.12x = 2,465.52 × 914.34
  4. Step 4: Simplify right side
    1,647.12x = 2,254,323.56
  5. Step 5: Solve for x
    x = 2,254,323.56/1,647.12
  6. Step 6: Final answer
    x = 1,368.65

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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.