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Finding the Fourth Proportional to 1,428.51, 1,970.66 and 931.31

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Solution

The fourth proportional to 1,428.51, 1,970.66 and 931.31 is: 1,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.51 : 1,970.66 = 931.31 : x
  2. Step 2: Convert to fraction form
    1,428.51/1,970.66 = 931.31/x
  3. Step 3: Cross multiply
    1,428.51x = 1,970.66 × 931.31
  4. Step 4: Simplify right side
    1,428.51x = 1,835,287.84
  5. Step 5: Solve for x
    x = 1,835,287.84/1,428.51
  6. Step 6: Final answer
    x = 1,284.76

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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.