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Finding the Fourth Proportional to 1,886.84, 2,830.66 and 570.69

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Solution

The fourth proportional to 1,886.84, 2,830.66 and 570.69 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.84 : 2,830.66 = 570.69 : x
  2. Step 2: Convert to fraction form
    1,886.84/2,830.66 = 570.69/x
  3. Step 3: Cross multiply
    1,886.84x = 2,830.66 × 570.69
  4. Step 4: Simplify right side
    1,886.84x = 1,615,427.93
  5. Step 5: Solve for x
    x = 1,615,427.93/1,886.84
  6. Step 6: Final answer
    x = 856.16

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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.