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Finding the Fourth Proportional to 1,812.63, 2,497.72 and 1,714.60

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Solution

The fourth proportional to 1,812.63, 2,497.72 and 1,714.60 is: 2,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.63 : 2,497.72 = 1,714.60 : x
  2. Step 2: Convert to fraction form
    1,812.63/2,497.72 = 1,714.60/x
  3. Step 3: Cross multiply
    1,812.63x = 2,497.72 × 1,714.60
  4. Step 4: Simplify right side
    1,812.63x = 4,282,590.71
  5. Step 5: Solve for x
    x = 4,282,590.71/1,812.63
  6. Step 6: Final answer
    x = 2,362.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.