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Finding the Fourth Proportional to 1,873.54, 2,583.08 and 1,536.21

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Solution

The fourth proportional to 1,873.54, 2,583.08 and 1,536.21 is: 2,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.54 : 2,583.08 = 1,536.21 : x
  2. Step 2: Convert to fraction form
    1,873.54/2,583.08 = 1,536.21/x
  3. Step 3: Cross multiply
    1,873.54x = 2,583.08 × 1,536.21
  4. Step 4: Simplify right side
    1,873.54x = 3,968,157.17
  5. Step 5: Solve for x
    x = 3,968,157.17/1,873.54
  6. Step 6: Final answer
    x = 2,118.00

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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.