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Finding the Fourth Proportional to 1,904.40, 2,670 and 1,904.40

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Solution

The fourth proportional to 1,904.40, 2,670 and 1,904.40 is: 2,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.40 : 2,670 = 1,904.40 : x
  2. Step 2: Convert to fraction form
    1,904.40/2,670 = 1,904.40/x
  3. Step 3: Cross multiply
    1,904.40x = 2,670 × 1,904.40
  4. Step 4: Simplify right side
    1,904.40x = 5,084,748
  5. Step 5: Solve for x
    x = 5,084,748/1,904.40
  6. Step 6: Final answer
    x = 2,670

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.