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Finding the Fourth Proportional to 1,812.02, 2,500.67 and 1,026.14

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Solution

The fourth proportional to 1,812.02, 2,500.67 and 1,026.14 is: 1,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.02 : 2,500.67 = 1,026.14 : x
  2. Step 2: Convert to fraction form
    1,812.02/2,500.67 = 1,026.14/x
  3. Step 3: Cross multiply
    1,812.02x = 2,500.67 × 1,026.14
  4. Step 4: Simplify right side
    1,812.02x = 2,566,037.51
  5. Step 5: Solve for x
    x = 2,566,037.51/1,812.02
  6. Step 6: Final answer
    x = 1,416.12

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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.