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Finding the Fourth Proportional to 4,931.64, 7,392.74 and 1,642.93

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Solution

The fourth proportional to 4,931.64, 7,392.74 and 1,642.93 is: 2,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.64 : 7,392.74 = 1,642.93 : x
  2. Step 2: Convert to fraction form
    4,931.64/7,392.74 = 1,642.93/x
  3. Step 3: Cross multiply
    4,931.64x = 7,392.74 × 1,642.93
  4. Step 4: Simplify right side
    4,931.64x = 12,145,727.63
  5. Step 5: Solve for x
    x = 12,145,727.63/4,931.64
  6. Step 6: Final answer
    x = 2,462.82

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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.