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Finding the Fourth Proportional to 1,557, 2,335.73 and 1,084.11

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Solution

The fourth proportional to 1,557, 2,335.73 and 1,084.11 is: 1,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557 : 2,335.73 = 1,084.11 : x
  2. Step 2: Convert to fraction form
    1,557/2,335.73 = 1,084.11/x
  3. Step 3: Cross multiply
    1,557x = 2,335.73 × 1,084.11
  4. Step 4: Simplify right side
    1,557x = 2,532,182.83
  5. Step 5: Solve for x
    x = 2,532,182.83/1,557
  6. Step 6: Final answer
    x = 1,626.32

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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.