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Finding the Fourth Proportional to 2,510.72, 3,762.47 and 1,412.76

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Solution

The fourth proportional to 2,510.72, 3,762.47 and 1,412.76 is: 2,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.72 : 3,762.47 = 1,412.76 : x
  2. Step 2: Convert to fraction form
    2,510.72/3,762.47 = 1,412.76/x
  3. Step 3: Cross multiply
    2,510.72x = 3,762.47 × 1,412.76
  4. Step 4: Simplify right side
    2,510.72x = 5,315,460.05
  5. Step 5: Solve for x
    x = 5,315,460.05/2,510.72
  6. Step 6: Final answer
    x = 2,117.11

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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.