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Finding the Fourth Proportional to 1,585.94, 2,378.90 and 940.76

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Solution

The fourth proportional to 1,585.94, 2,378.90 and 940.76 is: 1,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.94 : 2,378.90 = 940.76 : x
  2. Step 2: Convert to fraction form
    1,585.94/2,378.90 = 940.76/x
  3. Step 3: Cross multiply
    1,585.94x = 2,378.90 × 940.76
  4. Step 4: Simplify right side
    1,585.94x = 2,237,973.96
  5. Step 5: Solve for x
    x = 2,237,973.96/1,585.94
  6. Step 6: Final answer
    x = 1,411.13

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1.5x scale

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.