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Finding the Fourth Proportional to 2,298.61, 3,172.04 and 1,402.14

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Solution

The fourth proportional to 2,298.61, 3,172.04 and 1,402.14 is: 1,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.61 : 3,172.04 = 1,402.14 : x
  2. Step 2: Convert to fraction form
    2,298.61/3,172.04 = 1,402.14/x
  3. Step 3: Cross multiply
    2,298.61x = 3,172.04 × 1,402.14
  4. Step 4: Simplify right side
    2,298.61x = 4,447,644.17
  5. Step 5: Solve for x
    x = 4,447,644.17/2,298.61
  6. Step 6: Final answer
    x = 1,934.93

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