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Finding the Fourth Proportional to 1,534.23, 2,301.93 and 610.47

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Solution

The fourth proportional to 1,534.23, 2,301.93 and 610.47 is: 915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.23 : 2,301.93 = 610.47 : x
  2. Step 2: Convert to fraction form
    1,534.23/2,301.93 = 610.47/x
  3. Step 3: Cross multiply
    1,534.23x = 2,301.93 × 610.47
  4. Step 4: Simplify right side
    1,534.23x = 1,405,259.21
  5. Step 5: Solve for x
    x = 1,405,259.21/1,534.23
  6. Step 6: Final answer
    x = 915.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.