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Finding the Fourth Proportional to 4,653.70, 6,980.89 and 1,732

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Solution

The fourth proportional to 4,653.70, 6,980.89 and 1,732 is: 2,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.70 : 6,980.89 = 1,732 : x
  2. Step 2: Convert to fraction form
    4,653.70/6,980.89 = 1,732/x
  3. Step 3: Cross multiply
    4,653.70x = 6,980.89 × 1,732
  4. Step 4: Simplify right side
    4,653.70x = 12,090,892.82
  5. Step 5: Solve for x
    x = 12,090,892.82/4,653.70
  6. Step 6: Final answer
    x = 2,598.13

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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.