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Finding the Fourth Proportional to 1,803.65, 2,488.59 and 1,057.64

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Solution

The fourth proportional to 1,803.65, 2,488.59 and 1,057.64 is: 1,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.65 : 2,488.59 = 1,057.64 : x
  2. Step 2: Convert to fraction form
    1,803.65/2,488.59 = 1,057.64/x
  3. Step 3: Cross multiply
    1,803.65x = 2,488.59 × 1,057.64
  4. Step 4: Simplify right side
    1,803.65x = 2,632,019.88
  5. Step 5: Solve for x
    x = 2,632,019.88/1,803.65
  6. Step 6: Final answer
    x = 1,459.28

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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.