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Finding the Fourth Proportional to 1,898.02, 2,619.01 and 1,152.01

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Solution

The fourth proportional to 1,898.02, 2,619.01 and 1,152.01 is: 1,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.02 : 2,619.01 = 1,152.01 : x
  2. Step 2: Convert to fraction form
    1,898.02/2,619.01 = 1,152.01/x
  3. Step 3: Cross multiply
    1,898.02x = 2,619.01 × 1,152.01
  4. Step 4: Simplify right side
    1,898.02x = 3,017,125.71
  5. Step 5: Solve for x
    x = 3,017,125.71/1,898.02
  6. Step 6: Final answer
    x = 1,589.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.