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Finding the Fourth Proportional to 1,875.78, 2,587.86 and 1,089.72

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Solution

The fourth proportional to 1,875.78, 2,587.86 and 1,089.72 is: 1,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.78 : 2,587.86 = 1,089.72 : x
  2. Step 2: Convert to fraction form
    1,875.78/2,587.86 = 1,089.72/x
  3. Step 3: Cross multiply
    1,875.78x = 2,587.86 × 1,089.72
  4. Step 4: Simplify right side
    1,875.78x = 2,820,042.80
  5. Step 5: Solve for x
    x = 2,820,042.80/1,875.78
  6. Step 6: Final answer
    x = 1,503.40

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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.