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Finding the Fourth Proportional to 1,588.59, 2,191.14 and 1,117.47

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Solution

The fourth proportional to 1,588.59, 2,191.14 and 1,117.47 is: 1,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.59 : 2,191.14 = 1,117.47 : x
  2. Step 2: Convert to fraction form
    1,588.59/2,191.14 = 1,117.47/x
  3. Step 3: Cross multiply
    1,588.59x = 2,191.14 × 1,117.47
  4. Step 4: Simplify right side
    1,588.59x = 2,448,533.22
  5. Step 5: Solve for x
    x = 2,448,533.22/1,588.59
  6. Step 6: Final answer
    x = 1,541.32

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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.