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Finding the Fourth Proportional to 1,775.84, 2,448.48 and 1,460

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Solution

The fourth proportional to 1,775.84, 2,448.48 and 1,460 is: 2,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.84 : 2,448.48 = 1,460 : x
  2. Step 2: Convert to fraction form
    1,775.84/2,448.48 = 1,460/x
  3. Step 3: Cross multiply
    1,775.84x = 2,448.48 × 1,460
  4. Step 4: Simplify right side
    1,775.84x = 3,574,780.80
  5. Step 5: Solve for x
    x = 3,574,780.80/1,775.84
  6. Step 6: Final answer
    x = 2,013.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.