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Finding the Fourth Proportional to 2,466.42, 3,699.08 and 711.04

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Solution

The fourth proportional to 2,466.42, 3,699.08 and 711.04 is: 1,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.42 : 3,699.08 = 711.04 : x
  2. Step 2: Convert to fraction form
    2,466.42/3,699.08 = 711.04/x
  3. Step 3: Cross multiply
    2,466.42x = 3,699.08 × 711.04
  4. Step 4: Simplify right side
    2,466.42x = 2,630,184.24
  5. Step 5: Solve for x
    x = 2,630,184.24/2,466.42
  6. Step 6: Final answer
    x = 1,066.40

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Why These Related Problems?

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