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Finding the Fourth Proportional to 1,467.88, 2,024.98 and 846.52

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Solution

The fourth proportional to 1,467.88, 2,024.98 and 846.52 is: 1,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.88 : 2,024.98 = 846.52 : x
  2. Step 2: Convert to fraction form
    1,467.88/2,024.98 = 846.52/x
  3. Step 3: Cross multiply
    1,467.88x = 2,024.98 × 846.52
  4. Step 4: Simplify right side
    1,467.88x = 1,714,186.07
  5. Step 5: Solve for x
    x = 1,714,186.07/1,467.88
  6. Step 6: Final answer
    x = 1,167.80

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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.