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Finding the Fourth Proportional to 1,556.84, 2,149.23 and 1,026.07

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Solution

The fourth proportional to 1,556.84, 2,149.23 and 1,026.07 is: 1,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.84 : 2,149.23 = 1,026.07 : x
  2. Step 2: Convert to fraction form
    1,556.84/2,149.23 = 1,026.07/x
  3. Step 3: Cross multiply
    1,556.84x = 2,149.23 × 1,026.07
  4. Step 4: Simplify right side
    1,556.84x = 2,205,260.43
  5. Step 5: Solve for x
    x = 2,205,260.43/1,556.84
  6. Step 6: Final answer
    x = 1,416.50

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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.