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Finding the Fourth Proportional to 2,300.45, 3,175.24 and 1,417.00

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Solution

The fourth proportional to 2,300.45, 3,175.24 and 1,417.00 is: 1,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.45 : 3,175.24 = 1,417.00 : x
  2. Step 2: Convert to fraction form
    2,300.45/3,175.24 = 1,417.00/x
  3. Step 3: Cross multiply
    2,300.45x = 3,175.24 × 1,417.00
  4. Step 4: Simplify right side
    2,300.45x = 4,499,303.60
  5. Step 5: Solve for x
    x = 4,499,303.60/2,300.45
  6. Step 6: Final answer
    x = 1,955.83

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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.