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Finding the Fourth Proportional to 2,071.63, 3,106.53 and 1,097.51

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Solution

The fourth proportional to 2,071.63, 3,106.53 and 1,097.51 is: 1,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.63 : 3,106.53 = 1,097.51 : x
  2. Step 2: Convert to fraction form
    2,071.63/3,106.53 = 1,097.51/x
  3. Step 3: Cross multiply
    2,071.63x = 3,106.53 × 1,097.51
  4. Step 4: Simplify right side
    2,071.63x = 3,409,432.21
  5. Step 5: Solve for x
    x = 3,409,432.21/2,071.63
  6. Step 6: Final answer
    x = 1,645.77

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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.