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Finding the Fourth Proportional to 1,902.48, 2,849.84 and 1,316

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Solution

The fourth proportional to 1,902.48, 2,849.84 and 1,316 is: 1,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.48 : 2,849.84 = 1,316 : x
  2. Step 2: Convert to fraction form
    1,902.48/2,849.84 = 1,316/x
  3. Step 3: Cross multiply
    1,902.48x = 2,849.84 × 1,316
  4. Step 4: Simplify right side
    1,902.48x = 3,750,389.44
  5. Step 5: Solve for x
    x = 3,750,389.44/1,902.48
  6. Step 6: Final answer
    x = 1,971.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.