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Finding the Fourth Proportional to 1,774.46, 2,448.50 and 1,018.32

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Solution

The fourth proportional to 1,774.46, 2,448.50 and 1,018.32 is: 1,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.46 : 2,448.50 = 1,018.32 : x
  2. Step 2: Convert to fraction form
    1,774.46/2,448.50 = 1,018.32/x
  3. Step 3: Cross multiply
    1,774.46x = 2,448.50 × 1,018.32
  4. Step 4: Simplify right side
    1,774.46x = 2,493,356.52
  5. Step 5: Solve for x
    x = 2,493,356.52/1,774.46
  6. Step 6: Final answer
    x = 1,405.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.