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Finding the Fourth Proportional to 1,670.18, 2,304.93 and 1,007.25

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Solution

The fourth proportional to 1,670.18, 2,304.93 and 1,007.25 is: 1,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.18 : 2,304.93 = 1,007.25 : x
  2. Step 2: Convert to fraction form
    1,670.18/2,304.93 = 1,007.25/x
  3. Step 3: Cross multiply
    1,670.18x = 2,304.93 × 1,007.25
  4. Step 4: Simplify right side
    1,670.18x = 2,321,629.22
  5. Step 5: Solve for x
    x = 2,321,629.22/1,670.18
  6. Step 6: Final answer
    x = 1,390.05

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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.