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Finding the Fourth Proportional to 1,875.88, 2,588.65 and 1,090.18

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Solution

The fourth proportional to 1,875.88, 2,588.65 and 1,090.18 is: 1,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.88 : 2,588.65 = 1,090.18 : x
  2. Step 2: Convert to fraction form
    1,875.88/2,588.65 = 1,090.18/x
  3. Step 3: Cross multiply
    1,875.88x = 2,588.65 × 1,090.18
  4. Step 4: Simplify right side
    1,875.88x = 2,822,094.46
  5. Step 5: Solve for x
    x = 2,822,094.46/1,875.88
  6. Step 6: Final answer
    x = 1,504.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.