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Finding the Fourth Proportional to 2,312.16, 3,468.75 and 668.58

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Solution

The fourth proportional to 2,312.16, 3,468.75 and 668.58 is: 1,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.16 : 3,468.75 = 668.58 : x
  2. Step 2: Convert to fraction form
    2,312.16/3,468.75 = 668.58/x
  3. Step 3: Cross multiply
    2,312.16x = 3,468.75 × 668.58
  4. Step 4: Simplify right side
    2,312.16x = 2,319,116.19
  5. Step 5: Solve for x
    x = 2,319,116.19/2,312.16
  6. Step 6: Final answer
    x = 1,003.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.