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Finding the Fourth Proportional to 2,312.71, 3,192.14 and 1,428.01

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Solution

The fourth proportional to 2,312.71, 3,192.14 and 1,428.01 is: 1,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.71 : 3,192.14 = 1,428.01 : x
  2. Step 2: Convert to fraction form
    2,312.71/3,192.14 = 1,428.01/x
  3. Step 3: Cross multiply
    2,312.71x = 3,192.14 × 1,428.01
  4. Step 4: Simplify right side
    2,312.71x = 4,558,407.84
  5. Step 5: Solve for x
    x = 4,558,407.84/2,312.71
  6. Step 6: Final answer
    x = 1,971.02

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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.