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Finding the Fourth Proportional to 1,925.40, 2,886.76 and 951.28

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Solution

The fourth proportional to 1,925.40, 2,886.76 and 951.28 is: 1,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.40 : 2,886.76 = 951.28 : x
  2. Step 2: Convert to fraction form
    1,925.40/2,886.76 = 951.28/x
  3. Step 3: Cross multiply
    1,925.40x = 2,886.76 × 951.28
  4. Step 4: Simplify right side
    1,925.40x = 2,746,117.05
  5. Step 5: Solve for x
    x = 2,746,117.05/1,925.40
  6. Step 6: Final answer
    x = 1,426.26

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