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Finding the Fourth Proportional to 1,764.21, 2,646.32 and 610.05

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Solution

The fourth proportional to 1,764.21, 2,646.32 and 610.05 is: 915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.21 : 2,646.32 = 610.05 : x
  2. Step 2: Convert to fraction form
    1,764.21/2,646.32 = 610.05/x
  3. Step 3: Cross multiply
    1,764.21x = 2,646.32 × 610.05
  4. Step 4: Simplify right side
    1,764.21x = 1,614,384.47
  5. Step 5: Solve for x
    x = 1,614,384.47/1,764.21
  6. Step 6: Final answer
    x = 915.08

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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.