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Finding the Fourth Proportional to 1,427.02, 1,968.58 and 1,111.72

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Solution

The fourth proportional to 1,427.02, 1,968.58 and 1,111.72 is: 1,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 1,968.58 = 1,111.72 : x
  2. Step 2: Convert to fraction form
    1,427.02/1,968.58 = 1,111.72/x
  3. Step 3: Cross multiply
    1,427.02x = 1,968.58 × 1,111.72
  4. Step 4: Simplify right side
    1,427.02x = 2,188,509.76
  5. Step 5: Solve for x
    x = 2,188,509.76/1,427.02
  6. Step 6: Final answer
    x = 1,533.62

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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.