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Finding the Fourth Proportional to 1,539.77, 2,309.94 and 846.06

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Solution

The fourth proportional to 1,539.77, 2,309.94 and 846.06 is: 1,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.77 : 2,309.94 = 846.06 : x
  2. Step 2: Convert to fraction form
    1,539.77/2,309.94 = 846.06/x
  3. Step 3: Cross multiply
    1,539.77x = 2,309.94 × 846.06
  4. Step 4: Simplify right side
    1,539.77x = 1,954,347.84
  5. Step 5: Solve for x
    x = 1,954,347.84/1,539.77
  6. Step 6: Final answer
    x = 1,269.25

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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.