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Finding the Fourth Proportional to 2,477.01, 3,417.74 and 1,428.47

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Solution

The fourth proportional to 2,477.01, 3,417.74 and 1,428.47 is: 1,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.01 : 3,417.74 = 1,428.47 : x
  2. Step 2: Convert to fraction form
    2,477.01/3,417.74 = 1,428.47/x
  3. Step 3: Cross multiply
    2,477.01x = 3,417.74 × 1,428.47
  4. Step 4: Simplify right side
    2,477.01x = 4,882,141.04
  5. Step 5: Solve for x
    x = 4,882,141.04/2,477.01
  6. Step 6: Final answer
    x = 1,970.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.