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Finding the Fourth Proportional to 1,388.48, 1,915.68 and 973.76

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Solution

The fourth proportional to 1,388.48, 1,915.68 and 973.76 is: 1,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.48 : 1,915.68 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,388.48/1,915.68 = 973.76/x
  3. Step 3: Cross multiply
    1,388.48x = 1,915.68 × 973.76
  4. Step 4: Simplify right side
    1,388.48x = 1,865,412.56
  5. Step 5: Solve for x
    x = 1,865,412.56/1,388.48
  6. Step 6: Final answer
    x = 1,343.49

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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.