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Finding the Fourth Proportional to 1,547, 2,134.87 and 838.86

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Solution

The fourth proportional to 1,547, 2,134.87 and 838.86 is: 1,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547 : 2,134.87 = 838.86 : x
  2. Step 2: Convert to fraction form
    1,547/2,134.87 = 838.86/x
  3. Step 3: Cross multiply
    1,547x = 2,134.87 × 838.86
  4. Step 4: Simplify right side
    1,547x = 1,790,842.18
  5. Step 5: Solve for x
    x = 1,790,842.18/1,547
  6. Step 6: Final answer
    x = 1,157.62

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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.