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Finding the Fourth Proportional to 1,547.05, 2,320.57 and 392.80

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Solution

The fourth proportional to 1,547.05, 2,320.57 and 392.80 is: 589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.05 : 2,320.57 = 392.80 : x
  2. Step 2: Convert to fraction form
    1,547.05/2,320.57 = 392.80/x
  3. Step 3: Cross multiply
    1,547.05x = 2,320.57 × 392.80
  4. Step 4: Simplify right side
    1,547.05x = 911,519.90
  5. Step 5: Solve for x
    x = 911,519.90/1,547.05
  6. Step 6: Final answer
    x = 589.20

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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.