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Finding the Fourth Proportional to 1,540.51, 2,310.76 and 924.40

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Solution

The fourth proportional to 1,540.51, 2,310.76 and 924.40 is: 1,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.51 : 2,310.76 = 924.40 : x
  2. Step 2: Convert to fraction form
    1,540.51/2,310.76 = 924.40/x
  3. Step 3: Cross multiply
    1,540.51x = 2,310.76 × 924.40
  4. Step 4: Simplify right side
    1,540.51x = 2,136,066.54
  5. Step 5: Solve for x
    x = 2,136,066.54/1,540.51
  6. Step 6: Final answer
    x = 1,386.60

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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.