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Finding the Fourth Proportional to 1,666.09, 2,497.92 and 570.16

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Solution

The fourth proportional to 1,666.09, 2,497.92 and 570.16 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.09 : 2,497.92 = 570.16 : x
  2. Step 2: Convert to fraction form
    1,666.09/2,497.92 = 570.16/x
  3. Step 3: Cross multiply
    1,666.09x = 2,497.92 × 570.16
  4. Step 4: Simplify right side
    1,666.09x = 1,424,214.07
  5. Step 5: Solve for x
    x = 1,424,214.07/1,666.09
  6. Step 6: Final answer
    x = 854.82

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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.