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Finding the Fourth Proportional to 2,507.02, 3,460.07 and 1,562.96

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Solution

The fourth proportional to 2,507.02, 3,460.07 and 1,562.96 is: 2,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.02 : 3,460.07 = 1,562.96 : x
  2. Step 2: Convert to fraction form
    2,507.02/3,460.07 = 1,562.96/x
  3. Step 3: Cross multiply
    2,507.02x = 3,460.07 × 1,562.96
  4. Step 4: Simplify right side
    2,507.02x = 5,407,954.77
  5. Step 5: Solve for x
    x = 5,407,954.77/2,507.02
  6. Step 6: Final answer
    x = 2,157.13

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