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Finding the Fourth Proportional to 1,886.74, 2,830.29 and 570.40

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Solution

The fourth proportional to 1,886.74, 2,830.29 and 570.40 is: 855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.74 : 2,830.29 = 570.40 : x
  2. Step 2: Convert to fraction form
    1,886.74/2,830.29 = 570.40/x
  3. Step 3: Cross multiply
    1,886.74x = 2,830.29 × 570.40
  4. Step 4: Simplify right side
    1,886.74x = 1,614,397.42
  5. Step 5: Solve for x
    x = 1,614,397.42/1,886.74
  6. Step 6: Final answer
    x = 855.65

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