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Finding the Fourth Proportional to 1,875.54, 2,813.71 and 705.55

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Solution

The fourth proportional to 1,875.54, 2,813.71 and 705.55 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.54 : 2,813.71 = 705.55 : x
  2. Step 2: Convert to fraction form
    1,875.54/2,813.71 = 705.55/x
  3. Step 3: Cross multiply
    1,875.54x = 2,813.71 × 705.55
  4. Step 4: Simplify right side
    1,875.54x = 1,985,213.09
  5. Step 5: Solve for x
    x = 1,985,213.09/1,875.54
  6. Step 6: Final answer
    x = 1,058.48

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1.5x scale

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.