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Finding the Fourth Proportional to 1,547.65, 2,322.56 and 574.57

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Solution

The fourth proportional to 1,547.65, 2,322.56 and 574.57 is: 862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.65 : 2,322.56 = 574.57 : x
  2. Step 2: Convert to fraction form
    1,547.65/2,322.56 = 574.57/x
  3. Step 3: Cross multiply
    1,547.65x = 2,322.56 × 574.57
  4. Step 4: Simplify right side
    1,547.65x = 1,334,473.30
  5. Step 5: Solve for x
    x = 1,334,473.30/1,547.65
  6. Step 6: Final answer
    x = 862.26

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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.