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Finding the Fourth Proportional to 2,557.74, 3,530.02 and 1,495.82

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Solution

The fourth proportional to 2,557.74, 3,530.02 and 1,495.82 is: 2,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.74 : 3,530.02 = 1,495.82 : x
  2. Step 2: Convert to fraction form
    2,557.74/3,530.02 = 1,495.82/x
  3. Step 3: Cross multiply
    2,557.74x = 3,530.02 × 1,495.82
  4. Step 4: Simplify right side
    2,557.74x = 5,280,274.52
  5. Step 5: Solve for x
    x = 5,280,274.52/2,557.74
  6. Step 6: Final answer
    x = 2,064.43

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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.