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Finding the Fourth Proportional to 2,065.48, 2,852.69 and 1,401.18

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Solution

The fourth proportional to 2,065.48, 2,852.69 and 1,401.18 is: 1,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 2,852.69 = 1,401.18 : x
  2. Step 2: Convert to fraction form
    2,065.48/2,852.69 = 1,401.18/x
  3. Step 3: Cross multiply
    2,065.48x = 2,852.69 × 1,401.18
  4. Step 4: Simplify right side
    2,065.48x = 3,997,114.47
  5. Step 5: Solve for x
    x = 3,997,114.47/2,065.48
  6. Step 6: Final answer
    x = 1,935.20

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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.