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Finding the Fourth Proportional to 1,875.60, 2,587.41 and 1,213.02

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Solution

The fourth proportional to 1,875.60, 2,587.41 and 1,213.02 is: 1,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.60 : 2,587.41 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    1,875.60/2,587.41 = 1,213.02/x
  3. Step 3: Cross multiply
    1,875.60x = 2,587.41 × 1,213.02
  4. Step 4: Simplify right side
    1,875.60x = 3,138,580.08
  5. Step 5: Solve for x
    x = 3,138,580.08/1,875.60
  6. Step 6: Final answer
    x = 1,673.37

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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.