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Finding the Fourth Proportional to 1,428.17, 1,971.47 and 931.23

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Solution

The fourth proportional to 1,428.17, 1,971.47 and 931.23 is: 1,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.17 : 1,971.47 = 931.23 : x
  2. Step 2: Convert to fraction form
    1,428.17/1,971.47 = 931.23/x
  3. Step 3: Cross multiply
    1,428.17x = 1,971.47 × 931.23
  4. Step 4: Simplify right side
    1,428.17x = 1,835,894.34
  5. Step 5: Solve for x
    x = 1,835,894.34/1,428.17
  6. Step 6: Final answer
    x = 1,285.49

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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.