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Finding the Fourth Proportional to 2,303.63, 3,176.50 and 1,556.30

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Solution

The fourth proportional to 2,303.63, 3,176.50 and 1,556.30 is: 2,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.63 : 3,176.50 = 1,556.30 : x
  2. Step 2: Convert to fraction form
    2,303.63/3,176.50 = 1,556.30/x
  3. Step 3: Cross multiply
    2,303.63x = 3,176.50 × 1,556.30
  4. Step 4: Simplify right side
    2,303.63x = 4,943,580.43
  5. Step 5: Solve for x
    x = 4,943,580.43/2,303.63
  6. Step 6: Final answer
    x = 2,145.99

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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.