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Finding the Fourth Proportional to 1,670.02, 2,297.16 and 1,602.59

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Solution

The fourth proportional to 1,670.02, 2,297.16 and 1,602.59 is: 2,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.02 : 2,297.16 = 1,602.59 : x
  2. Step 2: Convert to fraction form
    1,670.02/2,297.16 = 1,602.59/x
  3. Step 3: Cross multiply
    1,670.02x = 2,297.16 × 1,602.59
  4. Step 4: Simplify right side
    1,670.02x = 3,681,394.16
  5. Step 5: Solve for x
    x = 3,681,394.16/1,670.02
  6. Step 6: Final answer
    x = 2,204.40

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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.