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Finding the Fourth Proportional to 1,509.84, 2,083.50 and 846.74

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Solution

The fourth proportional to 1,509.84, 2,083.50 and 846.74 is: 1,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.84 : 2,083.50 = 846.74 : x
  2. Step 2: Convert to fraction form
    1,509.84/2,083.50 = 846.74/x
  3. Step 3: Cross multiply
    1,509.84x = 2,083.50 × 846.74
  4. Step 4: Simplify right side
    1,509.84x = 1,764,182.79
  5. Step 5: Solve for x
    x = 1,764,182.79/1,509.84
  6. Step 6: Final answer
    x = 1,168.46

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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.