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Finding the Fourth Proportional to 1,720, 2,372.46 and 1,152.85

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Solution

The fourth proportional to 1,720, 2,372.46 and 1,152.85 is: 1,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720 : 2,372.46 = 1,152.85 : x
  2. Step 2: Convert to fraction form
    1,720/2,372.46 = 1,152.85/x
  3. Step 3: Cross multiply
    1,720x = 2,372.46 × 1,152.85
  4. Step 4: Simplify right side
    1,720x = 2,735,090.51
  5. Step 5: Solve for x
    x = 2,735,090.51/1,720
  6. Step 6: Final answer
    x = 1,590.17

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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.