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Finding the Fourth Proportional to 3,246.36, 4,870.98 and 1,707

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Solution

The fourth proportional to 3,246.36, 4,870.98 and 1,707 is: 2,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.36 : 4,870.98 = 1,707 : x
  2. Step 2: Convert to fraction form
    3,246.36/4,870.98 = 1,707/x
  3. Step 3: Cross multiply
    3,246.36x = 4,870.98 × 1,707
  4. Step 4: Simplify right side
    3,246.36x = 8,314,762.86
  5. Step 5: Solve for x
    x = 8,314,762.86/3,246.36
  6. Step 6: Final answer
    x = 2,561.26

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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.