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Finding the Fourth Proportional to 1,553.64, 2,348.07 and 1,526.76

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Solution

The fourth proportional to 1,553.64, 2,348.07 and 1,526.76 is: 2,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.64 : 2,348.07 = 1,526.76 : x
  2. Step 2: Convert to fraction form
    1,553.64/2,348.07 = 1,526.76/x
  3. Step 3: Cross multiply
    1,553.64x = 2,348.07 × 1,526.76
  4. Step 4: Simplify right side
    1,553.64x = 3,584,939.35
  5. Step 5: Solve for x
    x = 3,584,939.35/1,553.64
  6. Step 6: Final answer
    x = 2,307.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.