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Finding the Fourth Proportional to 1,720.01, 2,373.64 and 973.96

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Solution

The fourth proportional to 1,720.01, 2,373.64 and 973.96 is: 1,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.01 : 2,373.64 = 973.96 : x
  2. Step 2: Convert to fraction form
    1,720.01/2,373.64 = 973.96/x
  3. Step 3: Cross multiply
    1,720.01x = 2,373.64 × 973.96
  4. Step 4: Simplify right side
    1,720.01x = 2,311,822.05
  5. Step 5: Solve for x
    x = 2,311,822.05/1,720.01
  6. Step 6: Final answer
    x = 1,344.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.