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Finding the Fourth Proportional to 1,752, 2,417.76 and 1,053.36

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Solution

The fourth proportional to 1,752, 2,417.76 and 1,053.36 is: 1,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752 : 2,417.76 = 1,053.36 : x
  2. Step 2: Convert to fraction form
    1,752/2,417.76 = 1,053.36/x
  3. Step 3: Cross multiply
    1,752x = 2,417.76 × 1,053.36
  4. Step 4: Simplify right side
    1,752x = 2,546,771.67
  5. Step 5: Solve for x
    x = 2,546,771.67/1,752
  6. Step 6: Final answer
    x = 1,453.64

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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.