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Finding the Fourth Proportional to 4,307.84, 6,460.56 and 1,187.10

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Solution

The fourth proportional to 4,307.84, 6,460.56 and 1,187.10 is: 1,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.84 : 6,460.56 = 1,187.10 : x
  2. Step 2: Convert to fraction form
    4,307.84/6,460.56 = 1,187.10/x
  3. Step 3: Cross multiply
    4,307.84x = 6,460.56 × 1,187.10
  4. Step 4: Simplify right side
    4,307.84x = 7,669,330.78
  5. Step 5: Solve for x
    x = 7,669,330.78/4,307.84
  6. Step 6: Final answer
    x = 1,780.32

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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.