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Finding the Fourth Proportional to 2,163.04, 2,985.98 and 1,417.02

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Solution

The fourth proportional to 2,163.04, 2,985.98 and 1,417.02 is: 1,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.04 : 2,985.98 = 1,417.02 : x
  2. Step 2: Convert to fraction form
    2,163.04/2,985.98 = 1,417.02/x
  3. Step 3: Cross multiply
    2,163.04x = 2,985.98 × 1,417.02
  4. Step 4: Simplify right side
    2,163.04x = 4,231,193.38
  5. Step 5: Solve for x
    x = 4,231,193.38/2,163.04
  6. Step 6: Final answer
    x = 1,956.13

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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.