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Finding the Fourth Proportional to 1,547.12, 2,318.57 and 852.74

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Solution

The fourth proportional to 1,547.12, 2,318.57 and 852.74 is: 1,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.12 : 2,318.57 = 852.74 : x
  2. Step 2: Convert to fraction form
    1,547.12/2,318.57 = 852.74/x
  3. Step 3: Cross multiply
    1,547.12x = 2,318.57 × 852.74
  4. Step 4: Simplify right side
    1,547.12x = 1,977,151.26
  5. Step 5: Solve for x
    x = 1,977,151.26/1,547.12
  6. Step 6: Final answer
    x = 1,277.96

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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.