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Finding the Fourth Proportional to 2,301.86, 3,176.88 and 1,307.54

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Solution

The fourth proportional to 2,301.86, 3,176.88 and 1,307.54 is: 1,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.86 : 3,176.88 = 1,307.54 : x
  2. Step 2: Convert to fraction form
    2,301.86/3,176.88 = 1,307.54/x
  3. Step 3: Cross multiply
    2,301.86x = 3,176.88 × 1,307.54
  4. Step 4: Simplify right side
    2,301.86x = 4,153,897.68
  5. Step 5: Solve for x
    x = 4,153,897.68/2,301.86
  6. Step 6: Final answer
    x = 1,804.58

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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.