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Finding the Fourth Proportional to 1,886.64, 2,830.32 and 654.08

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Solution

The fourth proportional to 1,886.64, 2,830.32 and 654.08 is: 981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.64 : 2,830.32 = 654.08 : x
  2. Step 2: Convert to fraction form
    1,886.64/2,830.32 = 654.08/x
  3. Step 3: Cross multiply
    1,886.64x = 2,830.32 × 654.08
  4. Step 4: Simplify right side
    1,886.64x = 1,851,255.71
  5. Step 5: Solve for x
    x = 1,851,255.71/1,886.64
  6. Step 6: Final answer
    x = 981.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.