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Finding the Fourth Proportional to 1,557.72, 2,148.32 and 998.01

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Solution

The fourth proportional to 1,557.72, 2,148.32 and 998.01 is: 1,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.72 : 2,148.32 = 998.01 : x
  2. Step 2: Convert to fraction form
    1,557.72/2,148.32 = 998.01/x
  3. Step 3: Cross multiply
    1,557.72x = 2,148.32 × 998.01
  4. Step 4: Simplify right side
    1,557.72x = 2,144,044.84
  5. Step 5: Solve for x
    x = 2,144,044.84/1,557.72
  6. Step 6: Final answer
    x = 1,376.40

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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.