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Finding the Fourth Proportional to 1,728.48, 2,384.62 and 1,064.18

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Solution

The fourth proportional to 1,728.48, 2,384.62 and 1,064.18 is: 1,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.48 : 2,384.62 = 1,064.18 : x
  2. Step 2: Convert to fraction form
    1,728.48/2,384.62 = 1,064.18/x
  3. Step 3: Cross multiply
    1,728.48x = 2,384.62 × 1,064.18
  4. Step 4: Simplify right side
    1,728.48x = 2,537,647.67
  5. Step 5: Solve for x
    x = 2,537,647.67/1,728.48
  6. Step 6: Final answer
    x = 1,468.14

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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.