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Finding the Fourth Proportional to 1,875.40, 2,583.06 and 1,625.80

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Solution

The fourth proportional to 1,875.40, 2,583.06 and 1,625.80 is: 2,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.40 : 2,583.06 = 1,625.80 : x
  2. Step 2: Convert to fraction form
    1,875.40/2,583.06 = 1,625.80/x
  3. Step 3: Cross multiply
    1,875.40x = 2,583.06 × 1,625.80
  4. Step 4: Simplify right side
    1,875.40x = 4,199,538.95
  5. Step 5: Solve for x
    x = 4,199,538.95/1,875.40
  6. Step 6: Final answer
    x = 2,239.28

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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.