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Finding the Fourth Proportional to 2,506, 3,459.40 and 1,575.12

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Solution

The fourth proportional to 2,506, 3,459.40 and 1,575.12 is: 2,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506 : 3,459.40 = 1,575.12 : x
  2. Step 2: Convert to fraction form
    2,506/3,459.40 = 1,575.12/x
  3. Step 3: Cross multiply
    2,506x = 3,459.40 × 1,575.12
  4. Step 4: Simplify right side
    2,506x = 5,448,970.13
  5. Step 5: Solve for x
    x = 5,448,970.13/2,506
  6. Step 6: Final answer
    x = 2,174.37

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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.