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Finding the Fourth Proportional to 1,875.50, 2,582.62 and 1,607.97

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Solution

The fourth proportional to 1,875.50, 2,582.62 and 1,607.97 is: 2,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.50 : 2,582.62 = 1,607.97 : x
  2. Step 2: Convert to fraction form
    1,875.50/2,582.62 = 1,607.97/x
  3. Step 3: Cross multiply
    1,875.50x = 2,582.62 × 1,607.97
  4. Step 4: Simplify right side
    1,875.50x = 4,152,775.48
  5. Step 5: Solve for x
    x = 4,152,775.48/1,875.50
  6. Step 6: Final answer
    x = 2,214.22

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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.