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Finding the Fourth Proportional to 2,106.51, 2,905.07 and 1,686.88

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Solution

The fourth proportional to 2,106.51, 2,905.07 and 1,686.88 is: 2,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.51 : 2,905.07 = 1,686.88 : x
  2. Step 2: Convert to fraction form
    2,106.51/2,905.07 = 1,686.88/x
  3. Step 3: Cross multiply
    2,106.51x = 2,905.07 × 1,686.88
  4. Step 4: Simplify right side
    2,106.51x = 4,900,483.34
  5. Step 5: Solve for x
    x = 4,900,483.34/2,106.51
  6. Step 6: Final answer
    x = 2,326.36

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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.