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Finding the Fourth Proportional to 1,873.57, 2,585.64 and 1,076.95

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Solution

The fourth proportional to 1,873.57, 2,585.64 and 1,076.95 is: 1,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.57 : 2,585.64 = 1,076.95 : x
  2. Step 2: Convert to fraction form
    1,873.57/2,585.64 = 1,076.95/x
  3. Step 3: Cross multiply
    1,873.57x = 2,585.64 × 1,076.95
  4. Step 4: Simplify right side
    1,873.57x = 2,784,605.00
  5. Step 5: Solve for x
    x = 2,784,605.00/1,873.57
  6. Step 6: Final answer
    x = 1,486.26

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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.