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Finding the Fourth Proportional to 1,415.88, 1,954.53 and 1,102.01

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Solution

The fourth proportional to 1,415.88, 1,954.53 and 1,102.01 is: 1,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.88 : 1,954.53 = 1,102.01 : x
  2. Step 2: Convert to fraction form
    1,415.88/1,954.53 = 1,102.01/x
  3. Step 3: Cross multiply
    1,415.88x = 1,954.53 × 1,102.01
  4. Step 4: Simplify right side
    1,415.88x = 2,153,901.83
  5. Step 5: Solve for x
    x = 2,153,901.83/1,415.88
  6. Step 6: Final answer
    x = 1,521.25

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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.