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Finding the Fourth Proportional to 2,602.56, 3,590.40 and 1,670.88

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Solution

The fourth proportional to 2,602.56, 3,590.40 and 1,670.88 is: 2,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.56 : 3,590.40 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    2,602.56/3,590.40 = 1,670.88/x
  3. Step 3: Cross multiply
    2,602.56x = 3,590.40 × 1,670.88
  4. Step 4: Simplify right side
    2,602.56x = 5,999,127.55
  5. Step 5: Solve for x
    x = 5,999,127.55/2,602.56
  6. Step 6: Final answer
    x = 2,305.09

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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.