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Finding the Fourth Proportional to 1,875.62, 2,813.44 and 835.38

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Solution

The fourth proportional to 1,875.62, 2,813.44 and 835.38 is: 1,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.62 : 2,813.44 = 835.38 : x
  2. Step 2: Convert to fraction form
    1,875.62/2,813.44 = 835.38/x
  3. Step 3: Cross multiply
    1,875.62x = 2,813.44 × 835.38
  4. Step 4: Simplify right side
    1,875.62x = 2,350,291.51
  5. Step 5: Solve for x
    x = 2,350,291.51/1,875.62
  6. Step 6: Final answer
    x = 1,253.07

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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.