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Finding the Fourth Proportional to 1,547.02, 2,134.90 and 883.86

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Solution

The fourth proportional to 1,547.02, 2,134.90 and 883.86 is: 1,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 2,134.90 = 883.86 : x
  2. Step 2: Convert to fraction form
    1,547.02/2,134.90 = 883.86/x
  3. Step 3: Cross multiply
    1,547.02x = 2,134.90 × 883.86
  4. Step 4: Simplify right side
    1,547.02x = 1,886,952.71
  5. Step 5: Solve for x
    x = 1,886,952.71/1,547.02
  6. Step 6: Final answer
    x = 1,219.73

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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.