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Finding the Fourth Proportional to 1,693.88, 2,541.64 and 924.36

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Solution

The fourth proportional to 1,693.88, 2,541.64 and 924.36 is: 1,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.88 : 2,541.64 = 924.36 : x
  2. Step 2: Convert to fraction form
    1,693.88/2,541.64 = 924.36/x
  3. Step 3: Cross multiply
    1,693.88x = 2,541.64 × 924.36
  4. Step 4: Simplify right side
    1,693.88x = 2,349,390.35
  5. Step 5: Solve for x
    x = 2,349,390.35/1,693.88
  6. Step 6: Final answer
    x = 1,386.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.