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Finding the Fourth Proportional to 2,526.22, 3,783 and 1,598.98

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Solution

The fourth proportional to 2,526.22, 3,783 and 1,598.98 is: 2,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.22 : 3,783 = 1,598.98 : x
  2. Step 2: Convert to fraction form
    2,526.22/3,783 = 1,598.98/x
  3. Step 3: Cross multiply
    2,526.22x = 3,783 × 1,598.98
  4. Step 4: Simplify right side
    2,526.22x = 6,048,941.34
  5. Step 5: Solve for x
    x = 6,048,941.34/2,526.22
  6. Step 6: Final answer
    x = 2,394.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.