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Finding the Fourth Proportional to 1,655.76, 2,283.48 and 1,482.96

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Solution

The fourth proportional to 1,655.76, 2,283.48 and 1,482.96 is: 2,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.76 : 2,283.48 = 1,482.96 : x
  2. Step 2: Convert to fraction form
    1,655.76/2,283.48 = 1,482.96/x
  3. Step 3: Cross multiply
    1,655.76x = 2,283.48 × 1,482.96
  4. Step 4: Simplify right side
    1,655.76x = 3,386,309.50
  5. Step 5: Solve for x
    x = 3,386,309.50/1,655.76
  6. Step 6: Final answer
    x = 2,045.17

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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.