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Finding the Fourth Proportional to 1,410.96, 2,116.36 and 837.48

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Solution

The fourth proportional to 1,410.96, 2,116.36 and 837.48 is: 1,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 2,116.36 = 837.48 : x
  2. Step 2: Convert to fraction form
    1,410.96/2,116.36 = 837.48/x
  3. Step 3: Cross multiply
    1,410.96x = 2,116.36 × 837.48
  4. Step 4: Simplify right side
    1,410.96x = 1,772,409.17
  5. Step 5: Solve for x
    x = 1,772,409.17/1,410.96
  6. Step 6: Final answer
    x = 1,256.17

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Why These Related Problems?

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