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Finding the Fourth Proportional to 1,802.85, 2,487.94 and 974.85

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Solution

The fourth proportional to 1,802.85, 2,487.94 and 974.85 is: 1,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.85 : 2,487.94 = 974.85 : x
  2. Step 2: Convert to fraction form
    1,802.85/2,487.94 = 974.85/x
  3. Step 3: Cross multiply
    1,802.85x = 2,487.94 × 974.85
  4. Step 4: Simplify right side
    1,802.85x = 2,425,368.31
  5. Step 5: Solve for x
    x = 2,425,368.31/1,802.85
  6. Step 6: Final answer
    x = 1,345.30

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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.