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Finding the Fourth Proportional to 2,343.64, 3,515.16 and 612.16

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Solution

The fourth proportional to 2,343.64, 3,515.16 and 612.16 is: 918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.64 : 3,515.16 = 612.16 : x
  2. Step 2: Convert to fraction form
    2,343.64/3,515.16 = 612.16/x
  3. Step 3: Cross multiply
    2,343.64x = 3,515.16 × 612.16
  4. Step 4: Simplify right side
    2,343.64x = 2,151,840.35
  5. Step 5: Solve for x
    x = 2,151,840.35/2,343.64
  6. Step 6: Final answer
    x = 918.16

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Why These Related Problems?

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