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Finding the Fourth Proportional to 2,602.72, 3,588.60 and 1,973.08

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Solution

The fourth proportional to 2,602.72, 3,588.60 and 1,973.08 is: 2,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.72 : 3,588.60 = 1,973.08 : x
  2. Step 2: Convert to fraction form
    2,602.72/3,588.60 = 1,973.08/x
  3. Step 3: Cross multiply
    2,602.72x = 3,588.60 × 1,973.08
  4. Step 4: Simplify right side
    2,602.72x = 7,080,594.89
  5. Step 5: Solve for x
    x = 7,080,594.89/2,602.72
  6. Step 6: Final answer
    x = 2,720.46

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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.