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Finding the Fourth Proportional to 1,781.70, 2,459.18 and 1,036.20

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Solution

The fourth proportional to 1,781.70, 2,459.18 and 1,036.20 is: 1,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,459.18 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,459.18 = 1,036.20/x
  3. Step 3: Cross multiply
    1,781.70x = 2,459.18 × 1,036.20
  4. Step 4: Simplify right side
    1,781.70x = 2,548,197.14
  5. Step 5: Solve for x
    x = 2,548,197.14/1,781.70
  6. Step 6: Final answer
    x = 1,430.21

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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.