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Finding the Fourth Proportional to 1,624.48, 2,424.94 and 1,510.54

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Solution

The fourth proportional to 1,624.48, 2,424.94 and 1,510.54 is: 2,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.48 : 2,424.94 = 1,510.54 : x
  2. Step 2: Convert to fraction form
    1,624.48/2,424.94 = 1,510.54/x
  3. Step 3: Cross multiply
    1,624.48x = 2,424.94 × 1,510.54
  4. Step 4: Simplify right side
    1,624.48x = 3,662,968.87
  5. Step 5: Solve for x
    x = 3,662,968.87/1,624.48
  6. Step 6: Final answer
    x = 2,254.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.