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Finding the Fourth Proportional to 1,500.28, 2,070.36 and 837.14

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Solution

The fourth proportional to 1,500.28, 2,070.36 and 837.14 is: 1,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.28 : 2,070.36 = 837.14 : x
  2. Step 2: Convert to fraction form
    1,500.28/2,070.36 = 837.14/x
  3. Step 3: Cross multiply
    1,500.28x = 2,070.36 × 837.14
  4. Step 4: Simplify right side
    1,500.28x = 1,733,181.17
  5. Step 5: Solve for x
    x = 1,733,181.17/1,500.28
  6. Step 6: Final answer
    x = 1,155.24

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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.