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Finding the Fourth Proportional to 1,699.47, 2,560.77 and 1,398.06

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Solution

The fourth proportional to 1,699.47, 2,560.77 and 1,398.06 is: 2,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.47 : 2,560.77 = 1,398.06 : x
  2. Step 2: Convert to fraction form
    1,699.47/2,560.77 = 1,398.06/x
  3. Step 3: Cross multiply
    1,699.47x = 2,560.77 × 1,398.06
  4. Step 4: Simplify right side
    1,699.47x = 3,580,110.11
  5. Step 5: Solve for x
    x = 3,580,110.11/1,699.47
  6. Step 6: Final answer
    x = 2,106.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.