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Finding the Fourth Proportional to 1,875.70, 2,811.62 and 705.49

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Solution

The fourth proportional to 1,875.70, 2,811.62 and 705.49 is: 1,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.70 : 2,811.62 = 705.49 : x
  2. Step 2: Convert to fraction form
    1,875.70/2,811.62 = 705.49/x
  3. Step 3: Cross multiply
    1,875.70x = 2,811.62 × 705.49
  4. Step 4: Simplify right side
    1,875.70x = 1,983,564.53
  5. Step 5: Solve for x
    x = 1,983,564.53/1,875.70
  6. Step 6: Final answer
    x = 1,057.51

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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.