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Finding the Fourth Proportional to 1,762.63, 2,656.06 and 1,461.24

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Solution

The fourth proportional to 1,762.63, 2,656.06 and 1,461.24 is: 2,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.63 : 2,656.06 = 1,461.24 : x
  2. Step 2: Convert to fraction form
    1,762.63/2,656.06 = 1,461.24/x
  3. Step 3: Cross multiply
    1,762.63x = 2,656.06 × 1,461.24
  4. Step 4: Simplify right side
    1,762.63x = 3,881,137.46
  5. Step 5: Solve for x
    x = 3,881,137.46/1,762.63
  6. Step 6: Final answer
    x = 2,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.