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Finding the Fourth Proportional to 1,583.00, 2,372.03 and 1,417.57

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Solution

The fourth proportional to 1,583.00, 2,372.03 and 1,417.57 is: 2,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.00 : 2,372.03 = 1,417.57 : x
  2. Step 2: Convert to fraction form
    1,583.00/2,372.03 = 1,417.57/x
  3. Step 3: Cross multiply
    1,583.00x = 2,372.03 × 1,417.57
  4. Step 4: Simplify right side
    1,583.00x = 3,362,510.87
  5. Step 5: Solve for x
    x = 3,362,510.87/1,583.00
  6. Step 6: Final answer
    x = 2,124.14

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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.