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Finding the Fourth Proportional to 2,602.32, 3,580.29 and 2,271.51

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Solution

The fourth proportional to 2,602.32, 3,580.29 and 2,271.51 is: 3,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.32 : 3,580.29 = 2,271.51 : x
  2. Step 2: Convert to fraction form
    2,602.32/3,580.29 = 2,271.51/x
  3. Step 3: Cross multiply
    2,602.32x = 3,580.29 × 2,271.51
  4. Step 4: Simplify right side
    2,602.32x = 8,132,664.54
  5. Step 5: Solve for x
    x = 8,132,664.54/2,602.32
  6. Step 6: Final answer
    x = 3,125.16

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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.