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Finding the Fourth Proportional to 2,048.49, 3,071.52 and 953.10

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Solution

The fourth proportional to 2,048.49, 3,071.52 and 953.10 is: 1,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.49 : 3,071.52 = 953.10 : x
  2. Step 2: Convert to fraction form
    2,048.49/3,071.52 = 953.10/x
  3. Step 3: Cross multiply
    2,048.49x = 3,071.52 × 953.10
  4. Step 4: Simplify right side
    2,048.49x = 2,927,465.71
  5. Step 5: Solve for x
    x = 2,927,465.71/2,048.49
  6. Step 6: Final answer
    x = 1,429.08

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Why These Related Problems?

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