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Finding the Fourth Proportional to 1,510.13, 2,262.02 and 1,048.80

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Solution

The fourth proportional to 1,510.13, 2,262.02 and 1,048.80 is: 1,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.13 : 2,262.02 = 1,048.80 : x
  2. Step 2: Convert to fraction form
    1,510.13/2,262.02 = 1,048.80/x
  3. Step 3: Cross multiply
    1,510.13x = 2,262.02 × 1,048.80
  4. Step 4: Simplify right side
    1,510.13x = 2,372,406.58
  5. Step 5: Solve for x
    x = 2,372,406.58/1,510.13
  6. Step 6: Final answer
    x = 1,570.99

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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.