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Finding the Fourth Proportional to 1,509.65, 2,083.43 and 846.41

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Solution

The fourth proportional to 1,509.65, 2,083.43 and 846.41 is: 1,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.65 : 2,083.43 = 846.41 : x
  2. Step 2: Convert to fraction form
    1,509.65/2,083.43 = 846.41/x
  3. Step 3: Cross multiply
    1,509.65x = 2,083.43 × 846.41
  4. Step 4: Simplify right side
    1,509.65x = 1,763,421.34
  5. Step 5: Solve for x
    x = 1,763,421.34/1,509.65
  6. Step 6: Final answer
    x = 1,168.10

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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.