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Finding the Fourth Proportional to 1,429.51, 1,971.15 and 931.22

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Solution

The fourth proportional to 1,429.51, 1,971.15 and 931.22 is: 1,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.51 : 1,971.15 = 931.22 : x
  2. Step 2: Convert to fraction form
    1,429.51/1,971.15 = 931.22/x
  3. Step 3: Cross multiply
    1,429.51x = 1,971.15 × 931.22
  4. Step 4: Simplify right side
    1,429.51x = 1,835,574.30
  5. Step 5: Solve for x
    x = 1,835,574.30/1,429.51
  6. Step 6: Final answer
    x = 1,284.06

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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.