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Finding the Fourth Proportional to 1,532.68, 2,115.10 and 943.08

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Solution

The fourth proportional to 1,532.68, 2,115.10 and 943.08 is: 1,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.68 : 2,115.10 = 943.08 : x
  2. Step 2: Convert to fraction form
    1,532.68/2,115.10 = 943.08/x
  3. Step 3: Cross multiply
    1,532.68x = 2,115.10 × 943.08
  4. Step 4: Simplify right side
    1,532.68x = 1,994,708.51
  5. Step 5: Solve for x
    x = 1,994,708.51/1,532.68
  6. Step 6: Final answer
    x = 1,301.45

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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.