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Finding the Fourth Proportional to 1,547.42, 2,322.04 and 574.20

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Solution

The fourth proportional to 1,547.42, 2,322.04 and 574.20 is: 861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.42 : 2,322.04 = 574.20 : x
  2. Step 2: Convert to fraction form
    1,547.42/2,322.04 = 574.20/x
  3. Step 3: Cross multiply
    1,547.42x = 2,322.04 × 574.20
  4. Step 4: Simplify right side
    1,547.42x = 1,333,315.37
  5. Step 5: Solve for x
    x = 1,333,315.37/1,547.42
  6. Step 6: Final answer
    x = 861.64

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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.