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Finding the Fourth Proportional to 2,119.58, 2,925.02 and 1,175.38

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Solution

The fourth proportional to 2,119.58, 2,925.02 and 1,175.38 is: 1,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.58 : 2,925.02 = 1,175.38 : x
  2. Step 2: Convert to fraction form
    2,119.58/2,925.02 = 1,175.38/x
  3. Step 3: Cross multiply
    2,119.58x = 2,925.02 × 1,175.38
  4. Step 4: Simplify right side
    2,119.58x = 3,437,989.51
  5. Step 5: Solve for x
    x = 3,437,989.51/2,119.58
  6. Step 6: Final answer
    x = 1,622.01

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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.