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Finding the Fourth Proportional to 2,307.01, 3,182.76 and 1,421.27

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Solution

The fourth proportional to 2,307.01, 3,182.76 and 1,421.27 is: 1,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.01 : 3,182.76 = 1,421.27 : x
  2. Step 2: Convert to fraction form
    2,307.01/3,182.76 = 1,421.27/x
  3. Step 3: Cross multiply
    2,307.01x = 3,182.76 × 1,421.27
  4. Step 4: Simplify right side
    2,307.01x = 4,523,569.26
  5. Step 5: Solve for x
    x = 4,523,569.26/2,307.01
  6. Step 6: Final answer
    x = 1,960.80

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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.