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Finding the Fourth Proportional to 1,583.81, 2,373.02 and 1,237.01

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Solution

The fourth proportional to 1,583.81, 2,373.02 and 1,237.01 is: 1,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.81 : 2,373.02 = 1,237.01 : x
  2. Step 2: Convert to fraction form
    1,583.81/2,373.02 = 1,237.01/x
  3. Step 3: Cross multiply
    1,583.81x = 2,373.02 × 1,237.01
  4. Step 4: Simplify right side
    1,583.81x = 2,935,443.29
  5. Step 5: Solve for x
    x = 2,935,443.29/1,583.81
  6. Step 6: Final answer
    x = 1,853.41

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Why These Related Problems?

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