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Finding the Fourth Proportional to 2,709.17, 3,738.02 and 1,530.01

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Solution

The fourth proportional to 2,709.17, 3,738.02 and 1,530.01 is: 2,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.17 : 3,738.02 = 1,530.01 : x
  2. Step 2: Convert to fraction form
    2,709.17/3,738.02 = 1,530.01/x
  3. Step 3: Cross multiply
    2,709.17x = 3,738.02 × 1,530.01
  4. Step 4: Simplify right side
    2,709.17x = 5,719,205.00
  5. Step 5: Solve for x
    x = 5,719,205.00/2,709.17
  6. Step 6: Final answer
    x = 2,111.06

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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.