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Finding the Fourth Proportional to 2,666.94, 3,678.53 and 2,106.51

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Solution

The fourth proportional to 2,666.94, 3,678.53 and 2,106.51 is: 2,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 3,678.53 = 2,106.51 : x
  2. Step 2: Convert to fraction form
    2,666.94/3,678.53 = 2,106.51/x
  3. Step 3: Cross multiply
    2,666.94x = 3,678.53 × 2,106.51
  4. Step 4: Simplify right side
    2,666.94x = 7,748,849.70
  5. Step 5: Solve for x
    x = 7,748,849.70/2,666.94
  6. Step 6: Final answer
    x = 2,905.52

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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.