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Finding the Fourth Proportional to 1,804.56, 2,693.76 and 1,585.86

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Solution

The fourth proportional to 1,804.56, 2,693.76 and 1,585.86 is: 2,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.56 : 2,693.76 = 1,585.86 : x
  2. Step 2: Convert to fraction form
    1,804.56/2,693.76 = 1,585.86/x
  3. Step 3: Cross multiply
    1,804.56x = 2,693.76 × 1,585.86
  4. Step 4: Simplify right side
    1,804.56x = 4,271,926.23
  5. Step 5: Solve for x
    x = 4,271,926.23/1,804.56
  6. Step 6: Final answer
    x = 2,367.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.