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Finding the Fourth Proportional to 1,845.63, 2,547.02 and 1,006.38

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Solution

The fourth proportional to 1,845.63, 2,547.02 and 1,006.38 is: 1,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.63 : 2,547.02 = 1,006.38 : x
  2. Step 2: Convert to fraction form
    1,845.63/2,547.02 = 1,006.38/x
  3. Step 3: Cross multiply
    1,845.63x = 2,547.02 × 1,006.38
  4. Step 4: Simplify right side
    1,845.63x = 2,563,264.96
  5. Step 5: Solve for x
    x = 2,563,264.96/1,845.63
  6. Step 6: Final answer
    x = 1,388.83

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1.5x scale

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.