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Finding the Fourth Proportional to 1,870.68, 2,582.16 and 1,282.92

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Solution

The fourth proportional to 1,870.68, 2,582.16 and 1,282.92 is: 1,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.68 : 2,582.16 = 1,282.92 : x
  2. Step 2: Convert to fraction form
    1,870.68/2,582.16 = 1,282.92/x
  3. Step 3: Cross multiply
    1,870.68x = 2,582.16 × 1,282.92
  4. Step 4: Simplify right side
    1,870.68x = 3,312,704.71
  5. Step 5: Solve for x
    x = 3,312,704.71/1,870.68
  6. Step 6: Final answer
    x = 1,770.86

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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.