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Finding the Fourth Proportional to 2,602.01, 3,582.45 and 2,106.29

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Solution

The fourth proportional to 2,602.01, 3,582.45 and 2,106.29 is: 2,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.01 : 3,582.45 = 2,106.29 : x
  2. Step 2: Convert to fraction form
    2,602.01/3,582.45 = 2,106.29/x
  3. Step 3: Cross multiply
    2,602.01x = 3,582.45 × 2,106.29
  4. Step 4: Simplify right side
    2,602.01x = 7,545,678.61
  5. Step 5: Solve for x
    x = 7,545,678.61/2,602.01
  6. Step 6: Final answer
    x = 2,899.94

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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.