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Finding the Fourth Proportional to 1,582.57, 2,184.27 and 992.68

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Solution

The fourth proportional to 1,582.57, 2,184.27 and 992.68 is: 1,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.57 : 2,184.27 = 992.68 : x
  2. Step 2: Convert to fraction form
    1,582.57/2,184.27 = 992.68/x
  3. Step 3: Cross multiply
    1,582.57x = 2,184.27 × 992.68
  4. Step 4: Simplify right side
    1,582.57x = 2,168,281.14
  5. Step 5: Solve for x
    x = 2,168,281.14/1,582.57
  6. Step 6: Final answer
    x = 1,370.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.