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Finding the Fourth Proportional to 1,705.87, 2,555.59 and 973.23

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Solution

The fourth proportional to 1,705.87, 2,555.59 and 973.23 is: 1,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.87 : 2,555.59 = 973.23 : x
  2. Step 2: Convert to fraction form
    1,705.87/2,555.59 = 973.23/x
  3. Step 3: Cross multiply
    1,705.87x = 2,555.59 × 973.23
  4. Step 4: Simplify right side
    1,705.87x = 2,487,176.86
  5. Step 5: Solve for x
    x = 2,487,176.86/1,705.87
  6. Step 6: Final answer
    x = 1,458.01

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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.