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Finding the Fourth Proportional to 2,844.58, 3,925.40 and 1,585.64

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Solution

The fourth proportional to 2,844.58, 3,925.40 and 1,585.64 is: 2,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.58 : 3,925.40 = 1,585.64 : x
  2. Step 2: Convert to fraction form
    2,844.58/3,925.40 = 1,585.64/x
  3. Step 3: Cross multiply
    2,844.58x = 3,925.40 × 1,585.64
  4. Step 4: Simplify right side
    2,844.58x = 6,224,271.26
  5. Step 5: Solve for x
    x = 6,224,271.26/2,844.58
  6. Step 6: Final answer
    x = 2,188.12

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