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Finding the Fourth Proportional to 4,742.64, 7,111.95 and 1,455

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Solution

The fourth proportional to 4,742.64, 7,111.95 and 1,455 is: 2,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.64 : 7,111.95 = 1,455 : x
  2. Step 2: Convert to fraction form
    4,742.64/7,111.95 = 1,455/x
  3. Step 3: Cross multiply
    4,742.64x = 7,111.95 × 1,455
  4. Step 4: Simplify right side
    4,742.64x = 10,347,887.25
  5. Step 5: Solve for x
    x = 10,347,887.25/4,742.64
  6. Step 6: Final answer
    x = 2,181.88

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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.