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Finding the Fourth Proportional to 1,802.90, 2,488.24 and 1,057.15

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Solution

The fourth proportional to 1,802.90, 2,488.24 and 1,057.15 is: 1,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.90 : 2,488.24 = 1,057.15 : x
  2. Step 2: Convert to fraction form
    1,802.90/2,488.24 = 1,057.15/x
  3. Step 3: Cross multiply
    1,802.90x = 2,488.24 × 1,057.15
  4. Step 4: Simplify right side
    1,802.90x = 2,630,442.92
  5. Step 5: Solve for x
    x = 2,630,442.92/1,802.90
  6. Step 6: Final answer
    x = 1,459.01

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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.