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Finding the Fourth Proportional to 1,875.81, 2,813.79 and 705.69

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Solution

The fourth proportional to 1,875.81, 2,813.79 and 705.69 is: 1,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.81 : 2,813.79 = 705.69 : x
  2. Step 2: Convert to fraction form
    1,875.81/2,813.79 = 705.69/x
  3. Step 3: Cross multiply
    1,875.81x = 2,813.79 × 705.69
  4. Step 4: Simplify right side
    1,875.81x = 1,985,654.23
  5. Step 5: Solve for x
    x = 1,985,654.23/1,875.81
  6. Step 6: Final answer
    x = 1,058.56

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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.