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Finding the Fourth Proportional to 2,017.64, 2,783.36 and 1,230.32

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Solution

The fourth proportional to 2,017.64, 2,783.36 and 1,230.32 is: 1,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.64 : 2,783.36 = 1,230.32 : x
  2. Step 2: Convert to fraction form
    2,017.64/2,783.36 = 1,230.32/x
  3. Step 3: Cross multiply
    2,017.64x = 2,783.36 × 1,230.32
  4. Step 4: Simplify right side
    2,017.64x = 3,424,417.32
  5. Step 5: Solve for x
    x = 3,424,417.32/2,017.64
  6. Step 6: Final answer
    x = 1,697.24

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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.