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Finding the Fourth Proportional to 1,705.57, 2,556.46 and 973.53

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Solution

The fourth proportional to 1,705.57, 2,556.46 and 973.53 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.57 : 2,556.46 = 973.53 : x
  2. Step 2: Convert to fraction form
    1,705.57/2,556.46 = 973.53/x
  3. Step 3: Cross multiply
    1,705.57x = 2,556.46 × 973.53
  4. Step 4: Simplify right side
    1,705.57x = 2,488,790.50
  5. Step 5: Solve for x
    x = 2,488,790.50/1,705.57
  6. Step 6: Final answer
    x = 1,459.21

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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.