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Finding the Fourth Proportional to 3,459.69, 4,774.59 and 1,967.04

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Solution

The fourth proportional to 3,459.69, 4,774.59 and 1,967.04 is: 2,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.69 : 4,774.59 = 1,967.04 : x
  2. Step 2: Convert to fraction form
    3,459.69/4,774.59 = 1,967.04/x
  3. Step 3: Cross multiply
    3,459.69x = 4,774.59 × 1,967.04
  4. Step 4: Simplify right side
    3,459.69x = 9,391,809.51
  5. Step 5: Solve for x
    x = 9,391,809.51/3,459.69
  6. Step 6: Final answer
    x = 2,714.64

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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.