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Finding the Fourth Proportional to 2,502.48, 3,756.06 and 1,270.77

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Solution

The fourth proportional to 2,502.48, 3,756.06 and 1,270.77 is: 1,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.48 : 3,756.06 = 1,270.77 : x
  2. Step 2: Convert to fraction form
    2,502.48/3,756.06 = 1,270.77/x
  3. Step 3: Cross multiply
    2,502.48x = 3,756.06 × 1,270.77
  4. Step 4: Simplify right side
    2,502.48x = 4,773,088.37
  5. Step 5: Solve for x
    x = 4,773,088.37/2,502.48
  6. Step 6: Final answer
    x = 1,907.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.