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Finding the Fourth Proportional to 1,875.35, 2,813.61 and 705.47

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Solution

The fourth proportional to 1,875.35, 2,813.61 and 705.47 is: 1,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.35 : 2,813.61 = 705.47 : x
  2. Step 2: Convert to fraction form
    1,875.35/2,813.61 = 705.47/x
  3. Step 3: Cross multiply
    1,875.35x = 2,813.61 × 705.47
  4. Step 4: Simplify right side
    1,875.35x = 1,984,903.38
  5. Step 5: Solve for x
    x = 1,984,903.38/1,875.35
  6. Step 6: Final answer
    x = 1,058.42

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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.