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Finding the Fourth Proportional to 2,119.76, 2,925.40 and 1,410.38

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Solution

The fourth proportional to 2,119.76, 2,925.40 and 1,410.38 is: 1,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.76 : 2,925.40 = 1,410.38 : x
  2. Step 2: Convert to fraction form
    2,119.76/2,925.40 = 1,410.38/x
  3. Step 3: Cross multiply
    2,119.76x = 2,925.40 × 1,410.38
  4. Step 4: Simplify right side
    2,119.76x = 4,125,925.65
  5. Step 5: Solve for x
    x = 4,125,925.65/2,119.76
  6. Step 6: Final answer
    x = 1,946.41

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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.