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Finding the Fourth Proportional to 1,587.08, 2,190.22 and 924.16

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Solution

The fourth proportional to 1,587.08, 2,190.22 and 924.16 is: 1,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.08 : 2,190.22 = 924.16 : x
  2. Step 2: Convert to fraction form
    1,587.08/2,190.22 = 924.16/x
  3. Step 3: Cross multiply
    1,587.08x = 2,190.22 × 924.16
  4. Step 4: Simplify right side
    1,587.08x = 2,024,113.72
  5. Step 5: Solve for x
    x = 2,024,113.72/1,587.08
  6. Step 6: Final answer
    x = 1,275.37

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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.