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Finding the Fourth Proportional to 1,875.56, 2,588.15 and 1,089.45

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Solution

The fourth proportional to 1,875.56, 2,588.15 and 1,089.45 is: 1,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.56 : 2,588.15 = 1,089.45 : x
  2. Step 2: Convert to fraction form
    1,875.56/2,588.15 = 1,089.45/x
  3. Step 3: Cross multiply
    1,875.56x = 2,588.15 × 1,089.45
  4. Step 4: Simplify right side
    1,875.56x = 2,819,662.74
  5. Step 5: Solve for x
    x = 2,819,662.74/1,875.56
  6. Step 6: Final answer
    x = 1,503.38

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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.