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Finding the Fourth Proportional to 1,782.15, 2,459.04 and 1,035.84

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Solution

The fourth proportional to 1,782.15, 2,459.04 and 1,035.84 is: 1,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.15 : 2,459.04 = 1,035.84 : x
  2. Step 2: Convert to fraction form
    1,782.15/2,459.04 = 1,035.84/x
  3. Step 3: Cross multiply
    1,782.15x = 2,459.04 × 1,035.84
  4. Step 4: Simplify right side
    1,782.15x = 2,547,171.99
  5. Step 5: Solve for x
    x = 2,547,171.99/1,782.15
  6. Step 6: Final answer
    x = 1,429.27

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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.