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Finding the Fourth Proportional to 2,507.94, 3,460.53 and 1,564.03

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Solution

The fourth proportional to 2,507.94, 3,460.53 and 1,564.03 is: 2,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.94 : 3,460.53 = 1,564.03 : x
  2. Step 2: Convert to fraction form
    2,507.94/3,460.53 = 1,564.03/x
  3. Step 3: Cross multiply
    2,507.94x = 3,460.53 × 1,564.03
  4. Step 4: Simplify right side
    2,507.94x = 5,412,368.41
  5. Step 5: Solve for x
    x = 5,412,368.41/2,507.94
  6. Step 6: Final answer
    x = 2,158.09

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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.