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Finding the Fourth Proportional to 3,466.76, 4,784.28 and 1,895

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Solution

The fourth proportional to 3,466.76, 4,784.28 and 1,895 is: 2,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.76 : 4,784.28 = 1,895 : x
  2. Step 2: Convert to fraction form
    3,466.76/4,784.28 = 1,895/x
  3. Step 3: Cross multiply
    3,466.76x = 4,784.28 × 1,895
  4. Step 4: Simplify right side
    3,466.76x = 9,066,210.60
  5. Step 5: Solve for x
    x = 9,066,210.60/3,466.76
  6. Step 6: Final answer
    x = 2,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.