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Finding the Fourth Proportional to 1,530.79, 2,112.42 and 901.18

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Solution

The fourth proportional to 1,530.79, 2,112.42 and 901.18 is: 1,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.79 : 2,112.42 = 901.18 : x
  2. Step 2: Convert to fraction form
    1,530.79/2,112.42 = 901.18/x
  3. Step 3: Cross multiply
    1,530.79x = 2,112.42 × 901.18
  4. Step 4: Simplify right side
    1,530.79x = 1,903,670.66
  5. Step 5: Solve for x
    x = 1,903,670.66/1,530.79
  6. Step 6: Final answer
    x = 1,243.59

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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.