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Finding the Fourth Proportional to 4,307.74, 6,460.77 and 1,186.94

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Solution

The fourth proportional to 4,307.74, 6,460.77 and 1,186.94 is: 1,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.74 : 6,460.77 = 1,186.94 : x
  2. Step 2: Convert to fraction form
    4,307.74/6,460.77 = 1,186.94/x
  3. Step 3: Cross multiply
    4,307.74x = 6,460.77 × 1,186.94
  4. Step 4: Simplify right side
    4,307.74x = 7,668,546.34
  5. Step 5: Solve for x
    x = 7,668,546.34/4,307.74
  6. Step 6: Final answer
    x = 1,780.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.