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Finding the Fourth Proportional to 1,587.84, 2,191.16 and 924.69

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Solution

The fourth proportional to 1,587.84, 2,191.16 and 924.69 is: 1,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.84 : 2,191.16 = 924.69 : x
  2. Step 2: Convert to fraction form
    1,587.84/2,191.16 = 924.69/x
  3. Step 3: Cross multiply
    1,587.84x = 2,191.16 × 924.69
  4. Step 4: Simplify right side
    1,587.84x = 2,026,139.12
  5. Step 5: Solve for x
    x = 2,026,139.12/1,587.84
  6. Step 6: Final answer
    x = 1,276.03

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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.