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Finding the Fourth Proportional to 2,090.52, 2,886.06 and 1,428.36

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Solution

The fourth proportional to 2,090.52, 2,886.06 and 1,428.36 is: 1,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.52 : 2,886.06 = 1,428.36 : x
  2. Step 2: Convert to fraction form
    2,090.52/2,886.06 = 1,428.36/x
  3. Step 3: Cross multiply
    2,090.52x = 2,886.06 × 1,428.36
  4. Step 4: Simplify right side
    2,090.52x = 4,122,332.66
  5. Step 5: Solve for x
    x = 4,122,332.66/2,090.52
  6. Step 6: Final answer
    x = 1,971.92

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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.