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Finding the Fourth Proportional to 2,137.38, 2,946.96 and 1,547.70

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Solution

The fourth proportional to 2,137.38, 2,946.96 and 1,547.70 is: 2,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.38 : 2,946.96 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    2,137.38/2,946.96 = 1,547.70/x
  3. Step 3: Cross multiply
    2,137.38x = 2,946.96 × 1,547.70
  4. Step 4: Simplify right side
    2,137.38x = 4,561,009.99
  5. Step 5: Solve for x
    x = 4,561,009.99/2,137.38
  6. Step 6: Final answer
    x = 2,133.93

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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.